54085577644800 has 2592 divisors, whose sum is σ = 221005107767808. Its totient is φ = 13006468546560.

The previous prime is 54085577644753. The next prime is 54085577644837. The reversal of 54085577644800 is 844677558045.

54085577644800 is a `hidden beast` number, since 5 + 4 + 0 + 8 + 557 + 76 + 4 + 4 + 8 + 0 + 0 = 666.

54085577644800 is digitally balanced in base 5, 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 (2592).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 280236153504 + ... + 280236153696.

Almost surely, 2^{54085577644800} is an apocalyptic number.

54085577644800 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 54085577644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110502553883904).

54085577644800 is an abundant number, since it is smaller than the sum of its proper divisors (166919530123008).

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

54085577644800 is a wasteful number, since it uses less digits than its factorization.

54085577644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 150528000, while the sum is 63.

The spelling of 54085577644800 in words is "fifty-four trillion, eighty-five billion, five hundred seventy-seven million, six hundred forty-four thousand, eight hundred".