54083937464640 has 336 divisors, whose sum is σ = 188654306722128. Its totient is φ = 14218797514752.

The previous prime is 54083937464617. The next prime is 54083937464663. The reversal of 54083937464640 is 4646473938045.

54083937464640 is a `hidden beast` number, since 5 + 4 + 0 + 83 + 9 + 37 + 464 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54083937464617) and next prime (54083937464663).

It can be written as a sum of positive squares in 8 ways, for example, as 7480049961024 + 46603887503616 = 2734968^2 + 6826704^2 .

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, 508096864 + ... + 508203296.

Almost surely, 2^{54083937464640} 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 54083937464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94327153361064).

54083937464640 is an abundant number, since it is smaller than the sum of its proper divisors (134570369257488).

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

54083937464640 is a wasteful number, since it uses less digits than its factorization.

54083937464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108946 (or 108933 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 54083937464640 in words is "fifty-four trillion, eighty-three billion, nine hundred thirty-seven million, four hundred sixty-four thousand, six hundred forty".