88632872079840 has 960 divisors, whose sum is σ = 344606238611712. Its totient is φ = 21452445527040.

The previous prime is 88632872079737. The next prime is 88632872079929. The reversal of 88632872079840 is 4897027823688.

88632872079840 is a `hidden beast` number, since 8 + 8 + 6 + 328 + 7 + 207 + 98 + 4 + 0 = 666.

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

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, 11781582319 + ... + 11781589841.

Almost surely, 2^{88632872079840} is an apocalyptic number.

88632872079840 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 88632872079840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172303119305856).

88632872079840 is an abundant number, since it is smaller than the sum of its proper divisors (255973366531872).

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

88632872079840 is a wasteful number, since it uses less digits than its factorization.

88632872079840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8266 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 88632872079840 in words is "eighty-eight trillion, six hundred thirty-two billion, eight hundred seventy-two million, seventy-nine thousand, eight hundred forty".