88813307331840 has 1728 divisors, whose sum is σ = 363087097067520. Its totient is φ = 18333113057280.

The previous prime is 88813307331811. The next prime is 88813307331851. The reversal of 88813307331840 is 4813370331888.

88813307331840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32760348085 + ... + 32760350795.

It is an arithmetic number, because the mean of its divisors is an integer number (210119847840).

Almost surely, 2^{88813307331840} is an apocalyptic number.

88813307331840 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 88813307331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181543548533760).

88813307331840 is an abundant number, since it is smaller than the sum of its proper divisors (274273789735680).

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

88813307331840 is a wasteful number, since it uses less digits than its factorization.

88813307331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 88813307331840 in words is "eighty-eight trillion, eight hundred thirteen billion, three hundred seven million, three hundred thirty-one thousand, eight hundred forty".