221687752366080 has 11520 divisors, whose sum is σ = 1203359315558400. Its totient is φ = 37712261283840.

The previous prime is 221687752366079. The next prime is 221687752366081. The reversal of 221687752366080 is 80663257786122.

221687752366080 is a `hidden beast` number, since 2 + 2 + 16 + 8 + 7 + 7 + 5 + 2 + 3 + 6 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (221687752366079) and next prime (221687752366081).

It is a tau number, because it is divible by the number of its divisors (11520).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 221687752365999 and 221687752366017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221687752366081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 4716760688617 + ... + 4716760688663.

It is an arithmetic number, because the mean of its divisors is an integer number (104458273920).

Almost surely, 2^{221687752366080} is an apocalyptic number.

221687752366080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221687752366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601679657779200).

221687752366080 is an abundant number, since it is smaller than the sum of its proper divisors (981671563192320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221687752366080 is a wasteful number, since it uses less digits than its factorization.

221687752366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 221687752366080 in words is "two hundred twenty-one trillion, six hundred eighty-seven billion, seven hundred fifty-two million, three hundred sixty-six thousand, eighty".