88763391864000 has 5376 divisors, whose sum is σ = 419457102704640. Its totient is φ = 18114969600000.

The previous prime is 88763391863987. The next prime is 88763391864047. The reversal of 88763391864000 is 46819336788.

88763391864000 is a `hidden beast` number, since 8 + 8 + 7 + 63 + 3 + 91 + 86 + 400 + 0 = 666.

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 767 ways as a sum of consecutive naturals, for example, 677583143935 + ... + 677583144065.

It is an arithmetic number, because the mean of its divisors is an integer number (78024014640).

Almost surely, 2^{88763391864000} is an apocalyptic number.

88763391864000 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 88763391864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209728551352320).

88763391864000 is an abundant number, since it is smaller than the sum of its proper divisors (330693710840640).

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

88763391864000 is a wasteful number, since it uses less digits than its factorization.

88763391864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 88763391864000 in words is "eighty-eight trillion, seven hundred sixty-three billion, three hundred ninety-one million, eight hundred sixty-four thousand".