56749324800 has 480 divisors, whose sum is σ = 217824165504. Its totient is φ = 12754944000.

The previous prime is 56749324789. The next prime is 56749324813. The reversal of 56749324800 is 842394765.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56749324800.

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, 16395070 + ... + 16398530.

Almost surely, 2^56749324800 is an apocalyptic number.

56749324800 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 56749324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108912082752).

56749324800 is an abundant number, since it is smaller than the sum of its proper divisors (161074840704).

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

56749324800 is a wasteful number, since it uses less digits than its factorization.

56749324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 56749324800 in words is "fifty-six billion, seven hundred forty-nine million, three hundred twenty-four thousand, eight hundred".