5625856000512 has 960 divisors, whose sum is σ = 18984501664128. Its totient is φ = 1648263168000.

The previous prime is 5625856000483. The next prime is 5625856000547. The reversal of 5625856000512 is 2150006585265.

5625856000512 is a `hidden beast` number, since 5 + 6 + 2 + 585 + 60 + 0 + 0 + 5 + 1 + 2 = 666.

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 95 ways as a sum of consecutive naturals, for example, 12203591962 + ... + 12203592422.

Almost surely, 2^{5625856000512} 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 5625856000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9492250832064).

5625856000512 is an abundant number, since it is smaller than the sum of its proper divisors (13358645663616).

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

5625856000512 is a wasteful number, since it uses less digits than its factorization.

5625856000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 5625856000512 in words is "five trillion, six hundred twenty-five billion, eight hundred fifty-six million, five hundred twelve", and thus it is an aban number.