54257696640 has 512 divisors, whose sum is σ = 220272998400. Its totient is φ = 12364627968.

The previous prime is 54257696611. The next prime is 54257696699. The reversal of 54257696640 is 4669675245.

54257696640 is a `hidden beast` number, since 5 + 4 + 2 + 576 + 9 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 74631957 + ... + 74632683.

It is an arithmetic number, because the mean of its divisors is an integer number (430220700).

Almost surely, 2^54257696640 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 54257696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110136499200).

54257696640 is an abundant number, since it is smaller than the sum of its proper divisors (166015301760).

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

54257696640 is a wasteful number, since it uses less digits than its factorization.

54257696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 54257696640 in words is "fifty-four billion, two hundred fifty-seven million, six hundred ninety-six thousand, six hundred forty".