88160175837216 has 576 divisors, whose sum is σ = 295538794387200. Its totient is φ = 24916327833600.

The previous prime is 88160175837199. The next prime is 88160175837221. The reversal of 88160175837216 is 61273857106188.

88160175837216 is a `hidden beast` number, since 8 + 8 + 1 + 601 + 7 + 5 + 8 + 3 + 7 + 2 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5838028066 + ... + 5838043166.

It is an arithmetic number, because the mean of its divisors is an integer number (513088184700).

Almost surely, 2^{88160175837216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88160175837216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147769397193600).

88160175837216 is an abundant number, since it is smaller than the sum of its proper divisors (207378618549984).

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

88160175837216 is a wasteful number, since it uses less digits than its factorization.

88160175837216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15774 (or 15749 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 88160175837216 in words is "eighty-eight trillion, one hundred sixty billion, one hundred seventy-five million, eight hundred thirty-seven thousand, two hundred sixteen".