56407449600 has 504 divisors, whose sum is σ = 209304620760. Its totient is φ = 14893056000.

The previous prime is 56407449589. The next prime is 56407449617. The reversal of 56407449600 is 694470465.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

56407449600 is a `hidden beast` number, since 56 + 40 + 74 + 496 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 558489550 + ... + 558489650.

Almost surely, 2^56407449600 is an apocalyptic number.

56407449600 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 56407449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104652310380).

56407449600 is an abundant number, since it is smaller than the sum of its proper divisors (152897171160).

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

56407449600 is an equidigital number, since it uses as much as digits as its factorization.

56407449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 56407449600 in words is "fifty-six billion, four hundred seven million, four hundred forty-nine thousand, six hundred".