54515957760 has 384 divisors, whose sum is σ = 206227635120. Its totient is φ = 13212057600.

The previous prime is 54515957723. The next prime is 54515957791. The reversal of 54515957760 is 6775951545.

54515957760 is a `hidden beast` number, since 5 + 4 + 5 + 1 + 5 + 9 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 54515957697 and 54515957706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16218480 + ... + 16221840.

Almost surely, 2^54515957760 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 54515957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103113817560).

54515957760 is an abundant number, since it is smaller than the sum of its proper divisors (151711677360).

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

54515957760 is a wasteful number, since it uses less digits than its factorization.

54515957760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 54.

The spelling of 54515957760 in words is "fifty-four billion, five hundred fifteen million, nine hundred fifty-seven thousand, seven hundred sixty".