54657087408 has 960 divisors, whose sum is σ = 208358092800. Its totient is φ = 12964976640.

The previous prime is 54657087361. The next prime is 54657087439. The reversal of 54657087408 is 80478075645.

54657087408 is a `hidden beast` number, since 546 + 57 + 0 + 8 + 7 + 40 + 8 = 666.

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, 815777391 + ... + 815777457.

It is an arithmetic number, because the mean of its divisors is an integer number (217039680).

Almost surely, 2^54657087408 is an apocalyptic number.

54657087408 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54657087408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104179046400).

54657087408 is an abundant number, since it is smaller than the sum of its proper divisors (153701005392).

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

54657087408 is a wasteful number, since it uses less digits than its factorization.

54657087408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 54657087408 in words is "fifty-four billion, six hundred fifty-seven million, eighty-seven thousand, four hundred eight".