56642254400 has 336 divisors, whose sum is σ = 147342319488. Its totient is φ = 21411840000.

The previous prime is 56642254391. The next prime is 56642254429. The reversal of 56642254400 is 445224665.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549924749 + ... + 549924851.

It is an arithmetic number, because the mean of its divisors is an integer number (438518808).

Almost surely, 2^56642254400 is an apocalyptic number.

56642254400 is a gapful number since it is divisible by the number (50) 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 56642254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73671159744).

56642254400 is an abundant number, since it is smaller than the sum of its proper divisors (90700065088).

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

56642254400 is a wasteful number, since it uses less digits than its factorization.

56642254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 56642254400 in words is "fifty-six billion, six hundred forty-two million, two hundred fifty-four thousand, four hundred".