256352132560 has 80 divisors (see below), whose sum is σ = 603285293520. Its totient is φ = 101292871680.

The previous prime is 256352132551. The next prime is 256352132579. The reversal of 256352132560 is 65231253652.

It can be written as a sum of positive squares in 8 ways, for example, as 25667884944 + 230684247616 = 160212^2 + 480296^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7765690 + ... + 7798630.

It is an arithmetic number, because the mean of its divisors is an integer number (7541066169).

Almost surely, 2^256352132560 is an apocalyptic number.

256352132560 is a gapful number since it is divisible by the number (20) 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 256352132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301642646760).

256352132560 is an abundant number, since it is smaller than the sum of its proper divisors (346933160960).

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

256352132560 is a wasteful number, since it uses less digits than its factorization.

256352132560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34136 (or 34130 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

The spelling of 256352132560 in words is "two hundred fifty-six billion, three hundred fifty-two million, one hundred thirty-two thousand, five hundred sixty".