54019130256 has 240 divisors, whose sum is σ = 191887182720. Its totient is φ = 14246668800.

The previous prime is 54019130233. The next prime is 54019130257. The reversal of 54019130256 is 65203191045.

54019130256 is a `hidden beast` number, since 540 + 1 + 91 + 3 + 0 + 25 + 6 = 666.

It is a super-2 number, since 2×54019130256² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54019130256.

It is not an unprimeable number, because it can be changed into a prime (54019130257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458206 + ... + 563906.

It is an arithmetic number, because the mean of its divisors is an integer number (799529928).

Almost surely, 2^54019130256 is an apocalyptic number.

54019130256 is a gapful number since it is divisible by the number (56) 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 54019130256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95943591360).

54019130256 is an abundant number, since it is smaller than the sum of its proper divisors (137868052464).

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

54019130256 is a wasteful number, since it uses less digits than its factorization.

54019130256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105751 (or 105726 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 54019130256 in words is "fifty-four billion, nineteen million, one hundred thirty thousand, two hundred fifty-six".