55138199320800 has 576 divisors, whose sum is σ = 203639041267200. Its totient is φ = 14394251059200.

The previous prime is 55138199320759. The next prime is 55138199320807. The reversal of 55138199320800 is 802399183155.

55138199320800 is a `hidden beast` number, since 5 + 51 + 3 + 8 + 199 + 320 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55138199320807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307040637 + ... + 307220163.

It is an arithmetic number, because the mean of its divisors is an integer number (353540002200).

Almost surely, 2^{55138199320800} is an apocalyptic number.

55138199320800 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 55138199320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101819520633600).

55138199320800 is an abundant number, since it is smaller than the sum of its proper divisors (148500841946400).

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

55138199320800 is a wasteful number, since it uses less digits than its factorization.

55138199320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179856 (or 179837 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 55138199320800 in words is "fifty-five trillion, one hundred thirty-eight billion, one hundred ninety-nine million, three hundred twenty thousand, eight hundred".