88088496027840 has 1344 divisors, whose sum is σ = 392540069376000. Its totient is φ = 18266801909760.

The previous prime is 88088496027751. The next prime is 88088496027899. The reversal of 88088496027840 is 4872069488088.

88088496027840 is a `hidden beast` number, since 8 + 8 + 0 + 8 + 8 + 4 + 9 + 602 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2987757739 + ... + 2987787221.

It is an arithmetic number, because the mean of its divisors is an integer number (292068504000).

Almost surely, 2^{88088496027840} is an apocalyptic number.

88088496027840 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 88088496027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196270034688000).

88088496027840 is an abundant number, since it is smaller than the sum of its proper divisors (304451573348160).

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

88088496027840 is a wasteful number, since it uses less digits than its factorization.

88088496027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30032 (or 30010 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 88088496027840 in words is "eighty-eight trillion, eighty-eight billion, four hundred ninety-six million, twenty-seven thousand, eight hundred forty".