8957799936000 has 1664 divisors, whose sum is σ = 35858431365120. Its totient is φ = 2197684224000.

The previous prime is 8957799935857. The next prime is 8957799936031. The reversal of 8957799936000 is 6399977598.

It is a happy number.

8957799936000 is a `hidden beast` number, since 8 + 9 + 5 + 7 + 7 + 9 + 9 + 9 + 3 + 600 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8957799936000.

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 127 ways as a sum of consecutive naturals, for example, 11045375595 + ... + 11045376405.

It is an arithmetic number, because the mean of its divisors is an integer number (21549538080).

Almost surely, 2^{8957799936000} is an apocalyptic number.

8957799936000 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 8957799936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17929215682560).

8957799936000 is an abundant number, since it is smaller than the sum of its proper divisors (26900631429120).

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

8957799936000 is a wasteful number, since it uses less digits than its factorization.

8957799936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 231472080, while the sum is 72.

The spelling of 8957799936000 in words is "eight trillion, nine hundred fifty-seven billion, seven hundred ninety-nine million, nine hundred thirty-six thousand".