55901593036800 has 3456 divisors, whose sum is σ = 253230292224000. Its totient is φ = 11496967372800.

The previous prime is 55901593036787. The next prime is 55901593036811. The reversal of 55901593036800 is 863039510955.

It is a happy number.

55901593036800 is a `hidden beast` number, since 5 + 590 + 15 + 9 + 3 + 0 + 36 + 8 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 126188697379 + ... + 126188697821.

It is an arithmetic number, because the mean of its divisors is an integer number (73272654000).

Almost surely, 2^{55901593036800} is an apocalyptic number.

55901593036800 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 55901593036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126615146112000).

55901593036800 is an abundant number, since it is smaller than the sum of its proper divisors (197328699187200).

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

55901593036800 is a wasteful number, since it uses less digits than its factorization.

55901593036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 55901593036800 in words is "fifty-five trillion, nine hundred one billion, five hundred ninety-three million, thirty-six thousand, eight hundred".