55998864000 has 448 divisors, whose sum is σ = 208788751080. Its totient is φ = 14929920000.

The previous prime is 55998863993. The next prime is 55998864001. The reversal of 55998864000 is 46889955.

It is a happy number.

55998864000 is a `hidden beast` number, since 5 + 599 + 8 + 8 + 6 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18459026496 + 37539837504 = 135864^2 + 193752^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (55998864001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11661600 + ... + 11666400.

Almost surely, 2^55998864000 is an apocalyptic number.

55998864000 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 55998864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104394375540).

55998864000 is an abundant number, since it is smaller than the sum of its proper divisors (152789887080).

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

55998864000 is an frugal number, since it uses more digits than its factorization.

55998864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4848 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 55998864000 in words is "fifty-five billion, nine hundred ninety-eight million, eight hundred sixty-four thousand".