54813402864 has 160 divisors (see below), whose sum is σ = 171943994880. Its totient is φ = 16580505600.

The previous prime is 54813402829. The next prime is 54813402883. The reversal of 54813402864 is 46820431845.

54813402864 is a `hidden beast` number, since 548 + 1 + 3 + 40 + 2 + 8 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2731909 + ... + 2751899.

It is an arithmetic number, because the mean of its divisors is an integer number (1074649968).

Almost surely, 2^54813402864 is an apocalyptic number.

54813402864 is a gapful number since it is divisible by the number (54) 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 54813402864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85971997440).

54813402864 is an abundant number, since it is smaller than the sum of its proper divisors (117130592016).

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

54813402864 is a wasteful number, since it uses less digits than its factorization.

54813402864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20596 (or 20584 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 54813402864 in words is "fifty-four billion, eight hundred thirteen million, four hundred two thousand, eight hundred sixty-four".