88076144640 has 520 divisors, whose sum is σ = 324507499488. Its totient is φ = 20228014080.

The previous prime is 88076144623. The next prime is 88076144677. The reversal of 88076144640 is 4644167088.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 88076144640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4635586551 + ... + 4635586569.

Almost surely, 2^88076144640 is an apocalyptic number.

88076144640 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 88076144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162253749744).

88076144640 is an abundant number, since it is smaller than the sum of its proper divisors (236431354848).

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

88076144640 is an frugal number, since it uses more digits than its factorization.

88076144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 88076144640 in words is "eighty-eight billion, seventy-six million, one hundred forty-four thousand, six hundred forty".