88185734960 has 80 divisors (see below), whose sum is σ = 207544766880. Its totient is φ = 34843944960.

The previous prime is 88185734953. The next prime is 88185734981. The reversal of 88185734960 is 6943758188.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 88185734960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2871044 + ... + 2901596.

It is an arithmetic number, because the mean of its divisors is an integer number (2594309586).

Almost surely, 2^88185734960 is an apocalyptic number.

88185734960 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 88185734960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103772383440).

88185734960 is an abundant number, since it is smaller than the sum of its proper divisors (119359031920).

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

88185734960 is a wasteful number, since it uses less digits than its factorization.

88185734960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31006 (or 31000 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 59.

The spelling of 88185734960 in words is "eighty-eight billion, one hundred eighty-five million, seven hundred thirty-four thousand, nine hundred sixty".