54939268800 has 504 divisors, whose sum is σ = 211262884560. Its totient is φ = 13460889600.

The previous prime is 54939268693. The next prime is 54939268807. The reversal of 54939268800 is 886293945.

54939268800 is a `hidden beast` number, since 5 + 493 + 92 + 68 + 8 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (54939268807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50356255 + ... + 50357345.

It is an arithmetic number, because the mean of its divisors is an integer number (419172390).

Almost surely, 2^54939268800 is an apocalyptic number.

54939268800 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 54939268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105631442280).

54939268800 is an abundant number, since it is smaller than the sum of its proper divisors (156323615760).

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

54939268800 is a wasteful number, since it uses less digits than its factorization.

54939268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 54939268800 in words is "fifty-four billion, nine hundred thirty-nine million, two hundred sixty-eight thousand, eight hundred".