161525918309760 has 512 divisors, whose sum is σ = 574681025318400. Its totient is φ = 42877353369600.

The previous prime is 161525918309737. The next prime is 161525918309771. The reversal of 161525918309760 is 67903819525161.

161525918309760 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 2 + 591 + 8 + 30 + 9 + 7 + 6 + 0 = 666.

161525918309760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161525918309760² (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 63 ways as a sum of consecutive naturals, for example, 5222121495 + ... + 5222152425.

It is an arithmetic number, because the mean of its divisors is an integer number (1122423877575).

Almost surely, 2^{161525918309760} is an apocalyptic number.

161525918309760 is a gapful number since it is divisible by the number (10) 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 161525918309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287340512659200).

161525918309760 is an abundant number, since it is smaller than the sum of its proper divisors (413155107008640).

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

161525918309760 is a wasteful number, since it uses less digits than its factorization.

161525918309760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32327 (or 32309 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 161525918309760 in words is "one hundred sixty-one trillion, five hundred twenty-five billion, nine hundred eighteen million, three hundred nine thousand, seven hundred sixty".