54753936076800 has 624 divisors, whose sum is σ = 201783218246880. Its totient is φ = 14554756546560.

The previous prime is 54753936076781. The next prime is 54753936076811. The reversal of 54753936076800 is 867063935745.

54753936076800 is a `hidden beast` number, since 5 + 4 + 7 + 539 + 36 + 0 + 7 + 68 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 876410364 + ... + 876472836.

Almost surely, 2^{54753936076800} is an apocalyptic number.

54753936076800 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 54753936076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100891609123440).

54753936076800 is an abundant number, since it is smaller than the sum of its proper divisors (147029282170080).

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

54753936076800 is a wasteful number, since it uses less digits than its factorization.

54753936076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62833 (or 62800 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 54753936076800 in words is "fifty-four trillion, seven hundred fifty-three billion, nine hundred thirty-six million, seventy-six thousand, eight hundred".