88976482560 has 576 divisors, whose sum is σ = 376561704960. Its totient is φ = 19452026880.

The previous prime is 88976482523. The next prime is 88976482571. The reversal of 88976482560 is 6528467988.

88976482560 is a `hidden beast` number, since 8 + 8 + 9 + 7 + 64 + 8 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 5556165 + ... + 5572155.

It is an arithmetic number, because the mean of its divisors is an integer number (653752960).

Almost surely, 2^88976482560 is an apocalyptic number.

88976482560 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 88976482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188280852480).

88976482560 is an abundant number, since it is smaller than the sum of its proper divisors (287585222400).

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

88976482560 is a wasteful number, since it uses less digits than its factorization.

88976482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16051 (or 16031 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

It can be divided in two parts, 88976 and 482560, that added together give a square (571536 = 756²).

The spelling of 88976482560 in words is "eighty-eight billion, nine hundred seventy-six million, four hundred eighty-two thousand, five hundred sixty".