56983449600 has 1404 divisors, whose sum is σ = 259905410128. Its totient is φ = 11678515200.

The previous prime is 56983449599. The next prime is 56983449619. The reversal of 56983449600 is 694438965.

56983449600 is a `hidden beast` number, since 5 + 69 + 83 + 449 + 60 + 0 = 666.

It is a super-2 number, since 2×56983449600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 780595164 + ... + 780595236.

Almost surely, 2^56983449600 is an apocalyptic number.

56983449600 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 56983449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129952705064).

56983449600 is an abundant number, since it is smaller than the sum of its proper divisors (202921960528).

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

56983449600 is a wasteful number, since it uses less digits than its factorization.

56983449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 56983449600 in words is "fifty-six billion, nine hundred eighty-three million, four hundred forty-nine thousand, six hundred".