54632288256 has 208 divisors, whose sum is σ = 179287753344. Its totient is φ = 14408220672.

The previous prime is 54632288251. The next prime is 54632288257. The reversal of 54632288256 is 65288223645.

It is a tau number, because it is divible by the number of its divisors (208).

It is a junction number, because it is equal to n+sod(n) for n = 54632288199 and 54632288208.

It is not an unprimeable number, because it can be changed into a prime (54632288251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1093780 + ... + 1142636.

Almost surely, 2^54632288256 is an apocalyptic number.

54632288256 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 54632288256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89643876672).

54632288256 is an abundant number, since it is smaller than the sum of its proper divisors (124655465088).

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

54632288256 is a wasteful number, since it uses less digits than its factorization.

54632288256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48904 (or 48882 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 51.

The spelling of 54632288256 in words is "fifty-four billion, six hundred thirty-two million, two hundred eighty-eight thousand, two hundred fifty-six".