88796304000 has 1024 divisors, whose sum is σ = 352635379200. Its totient is φ = 21882470400.

The previous prime is 88796303971. The next prime is 88796304007. The reversal of 88796304000 is 40369788.

It is a happy number.

88796304000 is a `hidden beast` number, since 8 + 8 + 7 + 9 + 630 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (88796304007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 785807944 + ... + 785808056.

Almost surely, 2^88796304000 is an apocalyptic number.

88796304000 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 88796304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176317689600).

88796304000 is an abundant number, since it is smaller than the sum of its proper divisors (263839075200).

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

88796304000 is a wasteful number, since it uses less digits than its factorization.

88796304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 88796304000 in words is "eighty-eight billion, seven hundred ninety-six million, three hundred four thousand".