88758996480 has 1920 divisors, whose sum is σ = 424682818560. Its totient is φ = 17199267840.

The previous prime is 88758996449. The next prime is 88758996541. The reversal of 88758996480 is 8469985788.

88758996480 is a `hidden beast` number, since 8 + 8 + 7 + 58 + 9 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×88758996480² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 88758996399 and 88758996408.

It is a congruent number.

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, 814302666 + ... + 814302774.

It is an arithmetic number, because the mean of its divisors is an integer number (221188968).

Almost surely, 2^88758996480 is an apocalyptic number.

88758996480 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 88758996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212341409280).

88758996480 is an abundant number, since it is smaller than the sum of its proper divisors (335923822080).

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

88758996480 is a wasteful number, since it uses less digits than its factorization.

88758996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 88758996480 in words is "eighty-eight billion, seven hundred fifty-eight million, nine hundred ninety-six thousand, four hundred eighty".