88172674560 has 240 divisors, whose sum is σ = 306475986960. Its totient is φ = 23427317760.

The previous prime is 88172674559. The next prime is 88172674567. The reversal of 88172674560 is 6547627188.

88172674560 is a `hidden beast` number, since 8 + 8 + 1 + 7 + 2 + 6 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 88172674497 and 88172674506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88172674567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6467431 + ... + 6481049.

It is an arithmetic number, because the mean of its divisors is an integer number (1276983279).

Almost surely, 2^88172674560 is an apocalyptic number.

88172674560 is a gapful number since it is divisible by the number (80) 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 88172674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153237993480).

88172674560 is an abundant number, since it is smaller than the sum of its proper divisors (218303312400).

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

88172674560 is a wasteful number, since it uses less digits than its factorization.

88172674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13929 (or 13910 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 88172674560 in words is "eighty-eight billion, one hundred seventy-two million, six hundred seventy-four thousand, five hundred sixty".