52255905408 has 512 divisors, whose sum is σ = 185186304000. Its totient is φ = 14191718400.

The previous prime is 52255905397. The next prime is 52255905419. The reversal of 52255905408 is 80450955225.

52255905408 is a `hidden beast` number, since 5 + 2 + 2 + 5 + 590 + 54 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (52255905397) and next prime (52255905419).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44246578 + ... + 44247758.

It is an arithmetic number, because the mean of its divisors is an integer number (361692000).

Almost surely, 2^52255905408 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 52255905408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92593152000).

52255905408 is an abundant number, since it is smaller than the sum of its proper divisors (132930398592).

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

52255905408 is a wasteful number, since it uses less digits than its factorization.

52255905408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 52255905408 in words is "fifty-two billion, two hundred fifty-five million, nine hundred five thousand, four hundred eight".