55863597004800 has 2304 divisors, whose sum is σ = 212824003392000. Its totient is φ = 12829128130560.

The previous prime is 55863597004727. The next prime is 55863597004877. The reversal of 55863597004800 is 840079536855.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 283571558302 + ... + 283571558498.

It is an arithmetic number, because the mean of its divisors is an integer number (92371529250).

Almost surely, 2^{55863597004800} is an apocalyptic number.

55863597004800 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 55863597004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106412001696000).

55863597004800 is an abundant number, since it is smaller than the sum of its proper divisors (156960406387200).

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

55863597004800 is a wasteful number, since it uses less digits than its factorization.

55863597004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 60.

The spelling of 55863597004800 in words is "fifty-five trillion, eight hundred sixty-three billion, five hundred ninety-seven million, four thousand, eight hundred".