54516034560 has 352 divisors, whose sum is σ = 193858301952. Its totient is φ = 12984975360.

The previous prime is 54516034523. The next prime is 54516034577. The reversal of 54516034560 is 6543061545.

It is a super-2 number, since 2×54516034560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6185677 + ... + 6194483.

Almost surely, 2^54516034560 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 54516034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96929150976).

54516034560 is an abundant number, since it is smaller than the sum of its proper divisors (139342267392).

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

54516034560 is a wasteful number, since it uses less digits than its factorization.

54516034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8879 (or 8861 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 54516034560 in words is "fifty-four billion, five hundred sixteen million, thirty-four thousand, five hundred sixty".