54597058560 has 1020 divisors, whose sum is σ = 227807165124. Its totient is φ = 12457082880.

The previous prime is 54597058559. The next prime is 54597058589. The reversal of 54597058560 is 6585079545.

54597058560 is a `hidden beast` number, since 5 + 4 + 5 + 9 + 70 + 5 + 8 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31473598464 + 23123460096 = 177408^2 + 152064^2 .

It is a tau number, because it is divible by the number of its divisors (1020).

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

It is a junction number, because it is equal to n+sod(n) for n = 54597058497 and 54597058506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3211591672 + ... + 3211591688.

Almost surely, 2^54597058560 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 54597058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113903582562).

54597058560 is an abundant number, since it is smaller than the sum of its proper divisors (173210106564).

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

54597058560 is an equidigital number, since it uses as much as digits as its factorization.

54597058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 54597058560 in words is "fifty-four billion, five hundred ninety-seven million, fifty-eight thousand, five hundred sixty".