8974857925800 has 768 divisors, whose sum is σ = 34306991712000. Its totient is φ = 2155196160000.

The previous prime is 8974857925753. The next prime is 8974857925801. The reversal of 8974857925800 is 85297584798.

8974857925800 is a `hidden beast` number, since 8 + 9 + 7 + 48 + 579 + 2 + 5 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8974857925801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 486406575 + ... + 486425025.

It is an arithmetic number, because the mean of its divisors is an integer number (44670562125).

Almost surely, 2^{8974857925800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8974857925800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17153495856000).

8974857925800 is an abundant number, since it is smaller than the sum of its proper divisors (25332133786200).

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

8974857925800 is a wasteful number, since it uses less digits than its factorization.

8974857925800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18556 (or 18515 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 8974857925800 in words is "eight trillion, nine hundred seventy-four billion, eight hundred fifty-seven million, nine hundred twenty-five thousand, eight hundred".