88040960000 has 520 divisors, whose sum is σ = 267145860960. Its totient is φ = 28409856000.

The previous prime is 88040959943. The next prime is 88040960023. The reversal of 88040960000 is 6904088.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5178879992 + ... + 5178880008.

Almost surely, 2^88040960000 is an apocalyptic number.

88040960000 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 88040960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133572930480).

88040960000 is an abundant number, since it is smaller than the sum of its proper divisors (179104900960).

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

88040960000 is an frugal number, since it uses more digits than its factorization.

88040960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

88040960000 divided by its sum of digits (35) gives a cube (2515456000 = 1360³).

The spelling of 88040960000 in words is "eighty-eight billion, forty million, nine hundred sixty thousand".