56513047099392 has 1536 divisors, whose sum is σ = 199618473600000. Its totient is φ = 15637956526080.

The previous prime is 56513047099237. The next prime is 56513047099409. The reversal of 56513047099392 is 29399074031565.

56513047099392 is a `hidden beast` number, since 5 + 65 + 1 + 30 + 4 + 70 + 99 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24161198959 + ... + 24161201297.

It is an arithmetic number, because the mean of its divisors is an integer number (129959943750).

Almost surely, 2^{56513047099392} is an apocalyptic number.

56513047099392 is a gapful number since it is divisible by the number (52) 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 56513047099392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99809236800000).

56513047099392 is an abundant number, since it is smaller than the sum of its proper divisors (143105426500608).

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

56513047099392 is a wasteful number, since it uses less digits than its factorization.

56513047099392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 56513047099392 in words is "fifty-six trillion, five hundred thirteen billion, forty-seven million, ninety-nine thousand, three hundred ninety-two".