221525161413120 has 480 divisors, whose sum is σ = 786004982889984. Its totient is φ = 57629085696000.

The previous prime is 221525161413091. The next prime is 221525161413211. The reversal of 221525161413120 is 21314161525122.

221525161413120 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 2 + 5 + 1 + 614 + 1 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813244945 + ... + 813517295.

Almost surely, 2^{221525161413120} is an apocalyptic number.

221525161413120 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 221525161413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393002491444992).

221525161413120 is an abundant number, since it is smaller than the sum of its proper divisors (564479821476864).

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

221525161413120 is a wasteful number, since it uses less digits than its factorization.

221525161413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273244 (or 273225 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 221525161413120 in words is "two hundred twenty-one trillion, five hundred twenty-five billion, one hundred sixty-one million, four hundred thirteen thousand, one hundred twenty".