55872986400 has 864 divisors, whose sum is σ = 253639766016. Its totient is φ = 11232000000.

The previous prime is 55872986399. The next prime is 55872986459. The reversal of 55872986400 is 468927855.

55872986400 is a `hidden beast` number, since 558 + 7 + 2 + 9 + 86 + 4 + 0 + 0 = 666.

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, 17184775 + ... + 17188025.

It is an arithmetic number, because the mean of its divisors is an integer number (293564544).

Almost surely, 2^55872986400 is an apocalyptic number.

55872986400 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 55872986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126819883008).

55872986400 is an abundant number, since it is smaller than the sum of its proper divisors (197766779616).

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

55872986400 is a wasteful number, since it uses less digits than its factorization.

55872986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 55872986400 in words is "fifty-five billion, eight hundred seventy-two million, nine hundred eighty-six thousand, four hundred".