54050641320960 has 2112 divisors, whose sum is σ = 215921568844800. Its totient is φ = 12902890733568.

The previous prime is 54050641320887. The next prime is 54050641320971. The reversal of 54050641320960 is 6902314605045.

54050641320960 is a `hidden beast` number, since 5 + 4 + 0 + 506 + 4 + 132 + 0 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48389114322 + ... + 48389115438.

Almost surely, 2^{54050641320960} 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 54050641320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107960784422400).

54050641320960 is an abundant number, since it is smaller than the sum of its proper divisors (161870927523840).

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

54050641320960 is a wasteful number, since it uses less digits than its factorization.

54050641320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 54050641320960 in words is "fifty-four trillion, fifty billion, six hundred forty-one million, three hundred twenty thousand, nine hundred sixty".