54809602560 has 560 divisors, whose sum is σ = 201909068064. Its totient is φ = 14255087616.

The previous prime is 54809602451. The next prime is 54809602583. The reversal of 54809602560 is 6520690845.

54809602560 is a `hidden beast` number, since 5 + 4 + 80 + 9 + 6 + 0 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 80247979 + ... + 80248661.

Almost surely, 2^54809602560 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 54809602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100954534032).

54809602560 is an abundant number, since it is smaller than the sum of its proper divisors (147099465504).

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

54809602560 is an frugal number, since it uses more digits than its factorization.

54809602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 54809602560 in words is "fifty-four billion, eight hundred nine million, six hundred two thousand, five hundred sixty".