54279563708160 has 864 divisors, whose sum is σ = 220500004233600. Its totient is φ = 12069214617600.

The previous prime is 54279563708137. The next prime is 54279563708177. The reversal of 54279563708160 is 6180736597245.

54279563708160 is a `hidden beast` number, since 5 + 4 + 2 + 7 + 9 + 563 + 7 + 0 + 8 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1153854240 + ... + 1153901280.

It is a 2-persistent number, because it is pandigital, and so is 2⋅54279563708160 = 108559127416320, but 3⋅54279563708160 = 162838691124480 is not.

Almost surely, 2^{54279563708160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54279563708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110250002116800).

54279563708160 is an abundant number, since it is smaller than the sum of its proper divisors (166220440525440).

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

54279563708160 is a wasteful number, since it uses less digits than its factorization.

54279563708160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47465 (or 47448 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 54279563708160 in words is "fifty-four trillion, two hundred seventy-nine billion, five hundred sixty-three million, seven hundred eight thousand, one hundred sixty".