55920110400 has 672 divisors, whose sum is σ = 254165160960. Its totient is φ = 11619072000.

The previous prime is 55920110353. The next prime is 55920110413. The reversal of 55920110400 is 401102955.

55920110400 is a `hidden beast` number, since 5 + 59 + 201 + 1 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 3317995 + ... + 3334805.

Almost surely, 2^55920110400 is an apocalyptic number.

55920110400 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 55920110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127082580480).

55920110400 is an abundant number, since it is smaller than the sum of its proper divisors (198245050560).

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

55920110400 is a wasteful number, since it uses less digits than its factorization.

55920110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16860 (or 16839 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 55920110400 in words is "fifty-five billion, nine hundred twenty million, one hundred ten thousand, four hundred".