54057386880 has 512 divisors, whose sum is σ = 221612544000. Its totient is φ = 12197412864.

The previous prime is 54057386843. The next prime is 54057386881. The reversal of 54057386880 is 8868375045.

54057386880 is a `hidden beast` number, since 5 + 4 + 0 + 573 + 8 + 68 + 8 + 0 = 666.

It is a super-2 number, since 2×54057386880² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54057386881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9553012 + ... + 9558668.

It is an arithmetic number, because the mean of its divisors is an integer number (432837000).

Almost surely, 2^54057386880 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 54057386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110806272000).

54057386880 is an abundant number, since it is smaller than the sum of its proper divisors (167555157120).

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

54057386880 is a wasteful number, since it uses less digits than its factorization.

54057386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5771 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 54057386880 in words is "fifty-four billion, fifty-seven million, three hundred eighty-six thousand, eight hundred eighty".