54514252800 has 1056 divisors, whose sum is σ = 241238131200. Its totient is φ = 11784683520.

The previous prime is 54514252789. The next prime is 54514252817. The reversal of 54514252800 is 825241545.

54514252800 is a `hidden beast` number, since 545 + 14 + 25 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91929304 + ... + 91929896.

It is an arithmetic number, because the mean of its divisors is an integer number (228445200).

Almost surely, 2^54514252800 is an apocalyptic number.

54514252800 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 54514252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120619065600).

54514252800 is an abundant number, since it is smaller than the sum of its proper divisors (186723878400).

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

54514252800 is a wasteful number, since it uses less digits than its factorization.

54514252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 54514252800 in words is "fifty-four billion, five hundred fourteen million, two hundred fifty-two thousand, eight hundred".