56538894400 has 336 divisors, whose sum is σ = 150231384576. Its totient is φ = 20891566080.

The previous prime is 56538894361. The next prime is 56538894403. The reversal of 56538894400 is 449883565.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (56538894403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167771032 + ... + 167771368.

It is an arithmetic number, because the mean of its divisors is an integer number (447117216).

Almost surely, 2^56538894400 is an apocalyptic number.

56538894400 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 56538894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75115692288).

56538894400 is an abundant number, since it is smaller than the sum of its proper divisors (93692490176).

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

56538894400 is a wasteful number, since it uses less digits than its factorization.

56538894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 52.

The spelling of 56538894400 in words is "fifty-six billion, five hundred thirty-eight million, eight hundred ninety-four thousand, four hundred".