54981480960 has 720 divisors, whose sum is σ = 228795570432. Its totient is φ = 12154060800.

The previous prime is 54981480941. The next prime is 54981480989. The reversal of 54981480960 is 6908418945.

54981480960 is a `hidden beast` number, since 5 + 498 + 14 + 80 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 54981480897 and 54981480906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34996975 + ... + 34998545.

Almost surely, 2^54981480960 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 54981480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114397785216).

54981480960 is an abundant number, since it is smaller than the sum of its proper divisors (173814089472).

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

54981480960 is a wasteful number, since it uses less digits than its factorization.

54981480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 54981480960 in words is "fifty-four billion, nine hundred eighty-one million, four hundred eighty thousand, nine hundred sixty".