255949070832 has 800 divisors, whose sum is σ = 1016334950400. Its totient is φ = 60179521536.

The previous prime is 255949070821. The next prime is 255949070843. The reversal of 255949070832 is 238070949552.

255949070832 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 490 + 70 + 83 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (255949070821) and next prime (255949070843).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38089969 + ... + 38096687.

It is an arithmetic number, because the mean of its divisors is an integer number (1270418688).

Almost surely, 2^255949070832 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 255949070832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508167475200).

255949070832 is an abundant number, since it is smaller than the sum of its proper divisors (760385879568).

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

255949070832 is a wasteful number, since it uses less digits than its factorization.

255949070832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6795 (or 6780 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 255949070832 in words is "two hundred fifty-five billion, nine hundred forty-nine million, seventy thousand, eight hundred thirty-two".