54779064480 has 384 divisors, whose sum is σ = 222837350400. Its totient is φ = 12308308992.

The previous prime is 54779064451. The next prime is 54779064491. The reversal of 54779064480 is 8446097745.

54779064480 is a `hidden beast` number, since 5 + 4 + 77 + 90 + 6 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1768809 + ... + 1799511.

It is an arithmetic number, because the mean of its divisors is an integer number (580305600).

Almost surely, 2^54779064480 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 54779064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111418675200).

54779064480 is an abundant number, since it is smaller than the sum of its proper divisors (168058285920).

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

54779064480 is a wasteful number, since it uses less digits than its factorization.

54779064480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30793 (or 30779 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 54779064480 in words is "fifty-four billion, seven hundred seventy-nine million, sixty-four thousand, four hundred eighty".