54393025386960 has 960 divisors, whose sum is σ = 215440930897920. Its totient is φ = 12178380533760.

The previous prime is 54393025386949. The next prime is 54393025386989. The reversal of 54393025386960 is 6968352039345.

54393025386960 is a `hidden beast` number, since 5 + 4 + 3 + 9 + 3 + 0 + 2 + 538 + 6 + 96 + 0 = 666.

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, 700117237 + ... + 700194923.

It is an arithmetic number, because the mean of its divisors is an integer number (224417636352).

Almost surely, 2^{54393025386960} 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 54393025386960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107720465448960).

54393025386960 is an abundant number, since it is smaller than the sum of its proper divisors (161047905510960).

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

54393025386960 is a wasteful number, since it uses less digits than its factorization.

54393025386960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77896 (or 77887 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 63.

The spelling of 54393025386960 in words is "fifty-four trillion, three hundred ninety-three billion, twenty-five million, three hundred eighty-six thousand, nine hundred sixty".