55656806400 has 1152 divisors, whose sum is σ = 233172576000. Its totient is φ = 12899450880.

The previous prime is 55656806377. The next prime is 55656806411. The reversal of 55656806400 is 460865655.

It is a happy number.

55656806400 is a `hidden beast` number, since 5 + 565 + 6 + 80 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 341452719 + ... + 341452881.

It is an arithmetic number, because the mean of its divisors is an integer number (202406750).

Almost surely, 2^55656806400 is an apocalyptic number.

55656806400 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 55656806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116586288000).

55656806400 is an abundant number, since it is smaller than the sum of its proper divisors (177515769600).

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

55656806400 is a wasteful number, since it uses less digits than its factorization.

55656806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 55656806400 in words is "fifty-five billion, six hundred fifty-six million, eight hundred six thousand, four hundred".