88728800160 has 2304 divisors, whose sum is σ = 422552567808. Its totient is φ = 15328051200.

The previous prime is 88728800141. The next prime is 88728800189. The reversal of 88728800160 is 6100882788.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2398075662 + ... + 2398075698.

It is an arithmetic number, because the mean of its divisors is an integer number (183399552).

Almost surely, 2^88728800160 is an apocalyptic number.

88728800160 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 88728800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211276283904).

88728800160 is an abundant number, since it is smaller than the sum of its proper divisors (333823767648).

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

88728800160 is a wasteful number, since it uses less digits than its factorization.

88728800160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

It can be divided in two parts, 88728 and 800160, that added together give a palindrome (888888).

The spelling of 88728800160 in words is "eighty-eight billion, seven hundred twenty-eight million, eight hundred thousand, one hundred sixty".