54991560960 has 504 divisors, whose sum is σ = 225732655680. Its totient is φ = 12568006656.

The previous prime is 54991560931. The next prime is 54991560961. The reversal of 54991560960 is 6906519945.

54991560960 is a `hidden beast` number, since 5 + 499 + 1 + 5 + 60 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×54991560960² (a number of 22 digits) contains 22 as substring.

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 = 54991560897 and 54991560906.

It is not an unprimeable number, because it can be changed into a prime (54991560961) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6527631 + ... + 6536049.

Almost surely, 2^54991560960 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 54991560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112866327840).

54991560960 is an abundant number, since it is smaller than the sum of its proper divisors (170741094720).

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

54991560960 is an frugal number, since it uses more digits than its factorization.

54991560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8465 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 54991560960 in words is "fifty-four billion, nine hundred ninety-one million, five hundred sixty thousand, nine hundred sixty".