8857199604000 has 768 divisors, whose sum is σ = 32986510502400. Its totient is φ = 2057904128000.

The previous prime is 8857199603999. The next prime is 8857199604031. The reversal of 8857199604000 is 4069917588.

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, 524427556 + ... + 524444444.

It is an arithmetic number, because the mean of its divisors is an integer number (42951185550).

Almost surely, 2^{8857199604000} is an apocalyptic number.

8857199604000 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 8857199604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16493255251200).

8857199604000 is an abundant number, since it is smaller than the sum of its proper divisors (24129310898400).

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

8857199604000 is a wasteful number, since it uses less digits than its factorization.

8857199604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17094 (or 17076 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 8857199604000 in words is "eight trillion, eight hundred fifty-seven billion, one hundred ninety-nine million, six hundred four thousand".