10756505256 has 128 divisors (see below), whose sum is σ = 31087307520. Its totient is φ = 3037999104.

The previous prime is 10756505231. The next prime is 10756505257. The reversal of 10756505256 is 65250565701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10756505257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13914886 + ... + 13915658.

It is an arithmetic number, because the mean of its divisors is an integer number (242869590).

Almost surely, 2^10756505256 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 10756505256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15543653760).

10756505256 is an abundant number, since it is smaller than the sum of its proper divisors (20330802264).

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

10756505256 is a wasteful number, since it uses less digits than its factorization.

10756505256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 42.

The spelling of 10756505256 in words is "ten billion, seven hundred fifty-six million, five hundred five thousand, two hundred fifty-six".