88939952640 has 1280 divisors, whose sum is σ = 417470423040. Its totient is φ = 17376215040.

The previous prime is 88939952609. The next prime is 88939952669. The reversal of 88939952640 is 4625993988.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90477589 + ... + 90478571.

It is an arithmetic number, because the mean of its divisors is an integer number (326148768).

Almost surely, 2^88939952640 is an apocalyptic number.

88939952640 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 88939952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208735211520).

88939952640 is an abundant number, since it is smaller than the sum of its proper divisors (328530470400).

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

88939952640 is a wasteful number, since it uses less digits than its factorization.

88939952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 88939952640 in words is "eighty-eight billion, nine hundred thirty-nine million, nine hundred fifty-two thousand, six hundred forty".