54691580160 has 576 divisors, whose sum is σ = 222800578560. Its totient is φ = 12444917760.

The previous prime is 54691580149. The next prime is 54691580191. The reversal of 54691580160 is 6108519645.

54691580160 is a `hidden beast` number, since 5 + 4 + 6 + 9 + 1 + 580 + 1 + 60 = 666.

54691580160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80075179 + ... + 80075861.

It is an arithmetic number, because the mean of its divisors is an integer number (386806560).

Almost surely, 2^54691580160 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 54691580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111400289280).

54691580160 is an abundant number, since it is smaller than the sum of its proper divisors (168108998400).

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

54691580160 is a wasteful number, since it uses less digits than its factorization.

54691580160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 54691580160 in words is "fifty-four billion, six hundred ninety-one million, five hundred eighty thousand, one hundred sixty".