87792330568320 has 1152 divisors, whose sum is σ = 379847620152000. Its totient is φ = 18568512700416.

The previous prime is 87792330568309. The next prime is 87792330568343. The reversal of 87792330568320 is 2386503329778.

87792330568320 is a `hidden beast` number, since 8 + 7 + 7 + 9 + 2 + 3 + 30 + 568 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 230399716 + ... + 230780444.

Almost surely, 2^{87792330568320} is an apocalyptic number.

87792330568320 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 87792330568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189923810076000).

87792330568320 is an abundant number, since it is smaller than the sum of its proper divisors (292055289583680).

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

87792330568320 is a wasteful number, since it uses less digits than its factorization.

87792330568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380830 (or 380808 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 87792330568320 in words is "eighty-seven trillion, seven hundred ninety-two billion, three hundred thirty million, five hundred sixty-eight thousand, three hundred twenty".