220975664152320 has 10368 divisors, whose sum is σ = 1145721105285120. Its totient is φ = 38626689024000.

The previous prime is 220975664152259. The next prime is 220975664152409. The reversal of 220975664152320 is 23251466579022.

220975664152320 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 7 + 56 + 6 + 41 + 523 + 20 = 666.

It is a super-2 number, since 2×220975664152320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 3112333297885 + ... + 3112333297955.

It is an arithmetic number, because the mean of its divisors is an integer number (110505507840).

Almost surely, 2^{220975664152320} is an apocalyptic number.

220975664152320 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 220975664152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572860552642560).

220975664152320 is an abundant number, since it is smaller than the sum of its proper divisors (924745441132800).

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

220975664152320 is a wasteful number, since it uses less digits than its factorization.

220975664152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 220975664152320 in words is "two hundred twenty trillion, nine hundred seventy-five billion, six hundred sixty-four million, one hundred fifty-two thousand, three hundred twenty".