54256792464 has 300 divisors, whose sum is σ = 189422739264. Its totient is φ = 14685162624.

The previous prime is 54256792427. The next prime is 54256792487. The reversal of 54256792464 is 46429765245.

54256792464 is a `hidden beast` number, since 5 + 42 + 56 + 7 + 92 + 464 = 666.

54256792464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54256792464.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3266709 + ... + 3283275.

Almost surely, 2^54256792464 is an apocalyptic number.

54256792464 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 54256792464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94711369632).

54256792464 is an abundant number, since it is smaller than the sum of its proper divisors (135165946800).

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

54256792464 is a wasteful number, since it uses less digits than its factorization.

54256792464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16632 (or 16598 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 54256792464 in words is "fifty-four billion, two hundred fifty-six million, seven hundred ninety-two thousand, four hundred sixty-four".