10756257344 has 84 divisors (see below), whose sum is σ = 24871611420. Its totient is φ = 4601963520.

The previous prime is 10756257341. The next prime is 10756257361. The reversal of 10756257344 is 44375265701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8517074944 + 2239182400 = 92288^2 + 47320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10756257295 and 10756257304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10756257341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2070302 + ... + 2075490.

Almost surely, 2^10756257344 is an apocalyptic number.

10756257344 is a gapful number since it is divisible by the number (14) 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 10756257344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12435805710).

10756257344 is an abundant number, since it is smaller than the sum of its proper divisors (14115354076).

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

10756257344 is an equidigital number, since it uses as much as digits as its factorization.

10756257344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5876 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The spelling of 10756257344 in words is "ten billion, seven hundred fifty-six million, two hundred fifty-seven thousand, three hundred forty-four".