55289235456 has 864 divisors, whose sum is σ = 212577576120. Its totient is φ = 13674479616.

The previous prime is 55289235437. The next prime is 55289235479. The reversal of 55289235456 is 65453298255.

55289235456 is a `hidden beast` number, since 5 + 5 + 2 + 8 + 92 + 3 + 545 + 6 = 666.

55289235456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36679910400 + 18609325056 = 191520^2 + 136416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 199599990 + ... + 199600266.

Almost surely, 2^55289235456 is an apocalyptic number.

55289235456 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 55289235456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106288788060).

55289235456 is an abundant number, since it is smaller than the sum of its proper divisors (157288340664).

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

55289235456 is a wasteful number, since it uses less digits than its factorization.

55289235456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 319 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 55289235456 in words is "fifty-five billion, two hundred eighty-nine million, two hundred thirty-five thousand, four hundred fifty-six".