56408659200 has 1296 divisors, whose sum is σ = 232490119680. Its totient is φ = 13466787840.

The previous prime is 56408659183. The next prime is 56408659243. The reversal of 56408659200 is 295680465.

56408659200 is a `hidden beast` number, since 56 + 4 + 0 + 8 + 6 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 679622359 + ... + 679622441.

Almost surely, 2^56408659200 is an apocalyptic number.

56408659200 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 56408659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116245059840).

56408659200 is an abundant number, since it is smaller than the sum of its proper divisors (176081460480).

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

56408659200 is a wasteful number, since it uses less digits than its factorization.

56408659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

It can be divided in two parts, 564086 and 59200, that added together give a triangular number (623286 = T₁₁₁₆).

The spelling of 56408659200 in words is "fifty-six billion, four hundred eight million, six hundred fifty-nine thousand, two hundred".