56800392839424 has 576 divisors, whose sum is σ = 182481475706880. Its totient is φ = 17323484774400.

The previous prime is 56800392839383. The next prime is 56800392839471. The reversal of 56800392839424 is 42493829300865.

It is a happy number.

56800392839424 is a `hidden beast` number, since 5 + 6 + 80 + 0 + 392 + 83 + 94 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20278610824 + ... + 20278613624.

Almost surely, 2^{56800392839424} is an apocalyptic number.

56800392839424 is a gapful number since it is divisible by the number (54) 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 56800392839424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91240737853440).

56800392839424 is an abundant number, since it is smaller than the sum of its proper divisors (125681082867456).

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

56800392839424 is a wasteful number, since it uses less digits than its factorization.

56800392839424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 56800392839424 in words is "fifty-six trillion, eight hundred billion, three hundred ninety-two million, eight hundred thirty-nine thousand, four hundred twenty-four".