88742691600 has 120 divisors (see below), whose sum is σ = 284952491040. Its totient is φ = 23608104960.

The previous prime is 88742691581. The next prime is 88742691623. The reversal of 88742691600 is 619624788.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414552 + ... + 591048.

It is an arithmetic number, because the mean of its divisors is an integer number (2374604092).

Almost surely, 2^88742691600 is an apocalyptic number.

88742691600 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 88742691600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142476245520).

88742691600 is an abundant number, since it is smaller than the sum of its proper divisors (196209799440).

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

88742691600 is a wasteful number, since it uses less digits than its factorization.

88742691600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176937 (or 176926 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 88742691600 in words is "eighty-eight billion, seven hundred forty-two million, six hundred ninety-one thousand, six hundred".