55371916126800 has 3360 divisors, whose sum is σ = 256771528237056. Its totient is φ = 11156009472000.

The previous prime is 55371916126771. The next prime is 55371916126903. The reversal of 55371916126800 is 862161917355.

55371916126800 is a `hidden beast` number, since 5 + 5 + 3 + 7 + 19 + 1 + 612 + 6 + 8 + 0 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 68276098395 + ... + 68276099205.

Almost surely, 2^{55371916126800} is an apocalyptic number.

55371916126800 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 55371916126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128385764118528).

55371916126800 is an abundant number, since it is smaller than the sum of its proper divisors (201399612110256).

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

55371916126800 is a wasteful number, since it uses less digits than its factorization.

55371916126800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 55371916126800 in words is "fifty-five trillion, three hundred seventy-one billion, nine hundred sixteen million, one hundred twenty-six thousand, eight hundred".