88009172160 has 448 divisors, whose sum is σ = 355782067200. Its totient is φ = 17928142848.

The previous prime is 88009172149. The next prime is 88009172161. The reversal of 88009172160 is 6127190088.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×88009172160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (88009172161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2516071 + ... + 2550809.

It is an arithmetic number, because the mean of its divisors is an integer number (794156400).

Almost surely, 2^88009172160 is an apocalyptic number.

88009172160 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 88009172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177891033600).

88009172160 is an abundant number, since it is smaller than the sum of its proper divisors (267772895040).

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

88009172160 is a wasteful number, since it uses less digits than its factorization.

88009172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34808 (or 34798 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 88009172160 in words is "eighty-eight billion, nine million, one hundred seventy-two thousand, one hundred sixty".