54057568320 has 1792 divisors, whose sum is σ = 250179840000. Its totient is φ = 10924720128.

The previous prime is 54057568309. The next prime is 54057568321. The reversal of 54057568320 is 2386575045.

54057568320 is a `hidden beast` number, since 5 + 4 + 0 + 57 + 568 + 32 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (54057568321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1461015342 + ... + 1461015378.

Almost surely, 2^54057568320 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 54057568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125089920000).

54057568320 is an abundant number, since it is smaller than the sum of its proper divisors (196122271680).

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

54057568320 is a wasteful number, since it uses less digits than its factorization.

54057568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 54057568320 in words is "fifty-four billion, fifty-seven million, five hundred sixty-eight thousand, three hundred twenty".