88648774790400 has 2592 divisors, whose sum is σ = 383116891449600. Its totient is φ = 20219889254400.

The previous prime is 88648774790357. The next prime is 88648774790413. The reversal of 88648774790400 is 409747784688.

88648774790400 is a `hidden beast` number, since 8 + 8 + 6 + 4 + 87 + 74 + 79 + 0 + 400 = 666.

88648774790400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2592).

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

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 287 ways as a sum of consecutive naturals, for example, 28791416061 + ... + 28791419139.

Almost surely, 2^{88648774790400} is an apocalyptic number.

88648774790400 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 88648774790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191558445724800).

88648774790400 is an abundant number, since it is smaller than the sum of its proper divisors (294468116659200).

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

88648774790400 is a wasteful number, since it uses less digits than its factorization.

88648774790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 88648774790400 in words is "eighty-eight trillion, six hundred forty-eight billion, seven hundred seventy-four million, seven hundred ninety thousand, four hundred".