55306921597200 has 2880 divisors, whose sum is σ = 251335013529600. Its totient is φ = 11369731276800.

The previous prime is 55306921597171. The next prime is 55306921597237. The reversal of 55306921597200 is 279512960355.

55306921597200 is a `hidden beast` number, since 5 + 5 + 3 + 0 + 6 + 9 + 21 + 597 + 20 + 0 = 666.

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

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 575 ways as a sum of consecutive naturals, for example, 68364550396 + ... + 68364551204.

It is an arithmetic number, because the mean of its divisors is an integer number (87269101920).

Almost surely, 2^{55306921597200} is an apocalyptic number.

55306921597200 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 55306921597200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125667506764800).

55306921597200 is an abundant number, since it is smaller than the sum of its proper divisors (196028091932400).

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

55306921597200 is a wasteful number, since it uses less digits than its factorization.

55306921597200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 55306921597200 in words is "fifty-five trillion, three hundred six billion, nine hundred twenty-one million, five hundred ninety-seven thousand, two hundred".