54795778560 has 640 divisors, whose sum is σ = 203644108800. Its totient is φ = 13950074880.

The previous prime is 54795778493. The next prime is 54795778573. The reversal of 54795778560 is 6587759745.

54795778560 is a `hidden beast` number, since 5 + 4 + 7 + 9 + 577 + 8 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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, 229270921 + ... + 229271159.

It is an arithmetic number, because the mean of its divisors is an integer number (318193920).

Almost surely, 2^54795778560 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 54795778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101822054400).

54795778560 is an abundant number, since it is smaller than the sum of its proper divisors (148848330240).

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

54795778560 is a wasteful number, since it uses less digits than its factorization.

54795778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 63.

The spelling of 54795778560 in words is "fifty-four billion, seven hundred ninety-five million, seven hundred seventy-eight thousand, five hundred sixty".