256526708033232 has 3200 divisors, whose sum is σ = 1010236940697600. Its totient is φ = 60950765371392.

The previous prime is 256526708033161. The next prime is 256526708033251. The reversal of 256526708033232 is 232330807625652.

256526708033232 is a `hidden beast` number, since 2 + 5 + 6 + 526 + 7 + 0 + 80 + 3 + 3 + 2 + 32 = 666.

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 639 ways as a sum of consecutive naturals, for example, 906454798563 + ... + 906454798845.

It is an arithmetic number, because the mean of its divisors is an integer number (315699043968).

Almost surely, 2^{256526708033232} 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 256526708033232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505118470348800).

256526708033232 is an abundant number, since it is smaller than the sum of its proper divisors (753710232664368).

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

256526708033232 is a wasteful number, since it uses less digits than its factorization.

256526708033232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 256526708033232 in words is "two hundred fifty-six trillion, five hundred twenty-six billion, seven hundred eight million, thirty-three thousand, two hundred thirty-two".