54679857408 has 1080 divisors, whose sum is σ = 199996079360. Its totient is φ = 14780620800.

The previous prime is 54679857403. The next prime is 54679857431. The reversal of 54679857408 is 80475897645.

54679857408 is a `hidden beast` number, since 54 + 6 + 7 + 9 + 8 + 574 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (54679857403) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1477833966 + ... + 1477834002.

Almost surely, 2^54679857408 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 54679857408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99998039680).

54679857408 is an abundant number, since it is smaller than the sum of its proper divisors (145316221952).

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

54679857408 is a wasteful number, since it uses less digits than its factorization.

54679857408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 54679857408 in words is "fifty-four billion, six hundred seventy-nine million, eight hundred fifty-seven thousand, four hundred eight".