8868400507512 has 1152 divisors, whose sum is σ = 32471060889600. Its totient is φ = 2195466384384.

The previous prime is 8868400507501. The next prime is 8868400507601. The reversal of 8868400507512 is 2157050048688.

8868400507512 is a `hidden beast` number, since 8 + 8 + 6 + 84 + 0 + 0 + 507 + 51 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11715191838 + ... + 11715192594.

It is an arithmetic number, because the mean of its divisors is an integer number (28186684800).

Almost surely, 2^{8868400507512} 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 8868400507512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16235530444800).

8868400507512 is an abundant number, since it is smaller than the sum of its proper divisors (23602660382088).

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

8868400507512 is a wasteful number, since it uses less digits than its factorization.

8868400507512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 8868400507512 in words is "eight trillion, eight hundred sixty-eight billion, four hundred million, five hundred seven thousand, five hundred twelve".