54249440256 has 440 divisors, whose sum is σ = 181615997376. Its totient is φ = 15984967680.

The previous prime is 54249440249. The next prime is 54249440257. The reversal of 54249440256 is 65204494245.

It is a happy number.

54249440256 is a `hidden beast` number, since 542 + 49 + 4 + 40 + 25 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (54249440257) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33757405 + ... + 33759011.

Almost surely, 2^54249440256 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 54249440256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90807998688).

54249440256 is an abundant number, since it is smaller than the sum of its proper divisors (127366557120).

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

54249440256 is a wasteful number, since it uses less digits than its factorization.

54249440256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 54249440256 in words is "fifty-four billion, two hundred forty-nine million, four hundred forty thousand, two hundred fifty-six".