88158792960 has 1440 divisors, whose sum is σ = 383451129600. Its totient is φ = 19313344512.

The previous prime is 88158792947. The next prime is 88158793067. The reversal of 88158792960 is 6929785188.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1315802847 + ... + 1315802913.

Almost surely, 2^88158792960 is an apocalyptic number.

88158792960 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 88158792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191725564800).

88158792960 is an abundant number, since it is smaller than the sum of its proper divisors (295292336640).

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

88158792960 is an equidigital number, since it uses as much as digits as its factorization.

88158792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 88158792960 in words is "eighty-eight billion, one hundred fifty-eight million, seven hundred ninety-two thousand, nine hundred sixty".