55800037972800 has 504 divisors, whose sum is σ = 222203680694112. Its totient is φ = 13161678336000.

The previous prime is 55800037972769. The next prime is 55800037972817. The reversal of 55800037972800 is 827973000855.

55800037972800 is a `hidden beast` number, since 5 + 580 + 0 + 0 + 37 + 9 + 7 + 28 + 0 + 0 = 666.

It is a super-2 number, since 2×55800037972800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1100355 + ... + 10621245.

Almost surely, 2^{55800037972800} is an apocalyptic number.

55800037972800 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 55800037972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111101840347056).

55800037972800 is an abundant number, since it is smaller than the sum of its proper divisors (166403642721312).

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

55800037972800 is a wasteful number, since it uses less digits than its factorization.

55800037972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9520967 (or 9520949 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 55800037972800 in words is "fifty-five trillion, eight hundred billion, thirty-seven million, nine hundred seventy-two thousand, eight hundred".