88977979883520 has 4320 divisors, whose sum is σ = 411173108236800. Its totient is φ = 17612729745408.

The previous prime is 88977979883459. The next prime is 88977979883539. The reversal of 88977979883520 is 2538897977988.

88977979883520 is a `hidden beast` number, since 8 + 8 + 9 + 7 + 7 + 9 + 79 + 8 + 8 + 3 + 520 = 666.

It is a super-3 number, since 3×88977979883520³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 640129351611 + ... + 640129351749.

It is an arithmetic number, because the mean of its divisors is an integer number (95178960240).

Almost surely, 2^{88977979883520} is an apocalyptic number.

88977979883520 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 88977979883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205586554118400).

88977979883520 is an abundant number, since it is smaller than the sum of its proper divisors (322195128353280).

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

88977979883520 is a wasteful number, since it uses less digits than its factorization.

88977979883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 30725775360, while the sum is 90.

The spelling of 88977979883520 in words is "eighty-eight trillion, nine hundred seventy-seven billion, nine hundred seventy-nine million, eight hundred eighty-three thousand, five hundred twenty".