54050332116480 has 480 divisors, whose sum is σ = 208417364077824. Its totient is φ = 11704127864832.

The previous prime is 54050332116467. The next prime is 54050332116493. The reversal of 54050332116480 is 8461123305045.

It is an interprime number because it is at equal distance from previous prime (54050332116467) and next prime (54050332116493).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18014839 + ... + 20799881.

Almost surely, 2^{54050332116480} 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 54050332116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104208682038912).

54050332116480 is an abundant number, since it is smaller than the sum of its proper divisors (154367031961344).

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

54050332116480 is a wasteful number, since it uses less digits than its factorization.

54050332116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785114 (or 2785079 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 54050332116480 in words is "fifty-four trillion, fifty billion, three hundred thirty-two million, one hundred sixteen thousand, four hundred eighty".