55728590400 has 504 divisors, whose sum is σ = 229130376384. Its totient is φ = 12582604800.

The previous prime is 55728590387. The next prime is 55728590431. The reversal of 55728590400 is 409582755.

55728590400 is a `hidden beast` number, since 5 + 57 + 2 + 8 + 590 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8363070 + ... + 8369730.

Almost surely, 2^55728590400 is an apocalyptic number.

55728590400 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 55728590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114565188192).

55728590400 is an abundant number, since it is smaller than the sum of its proper divisors (173401785984).

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

55728590400 is a wasteful number, since it uses less digits than its factorization.

55728590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6779 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 55728590400 in words is "fifty-five billion, seven hundred twenty-eight million, five hundred ninety thousand, four hundred".