54718372800 has 1344 divisors, whose sum is σ = 253983744000. Its totient is φ = 11147673600.

The previous prime is 54718372781. The next prime is 54718372811. The reversal of 54718372800 is 827381745.

54718372800 is a `hidden beast` number, since 547 + 1 + 83 + 7 + 28 + 0 + 0 = 666.

54718372800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 121866976 + ... + 121867424.

It is an arithmetic number, because the mean of its divisors is an integer number (188976000).

Almost surely, 2^54718372800 is an apocalyptic number.

54718372800 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 54718372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126991872000).

54718372800 is an abundant number, since it is smaller than the sum of its proper divisors (199265371200).

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

54718372800 is a wasteful number, since it uses less digits than its factorization.

54718372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 54718372800 in words is "fifty-four billion, seven hundred eighteen million, three hundred seventy-two thousand, eight hundred".