10746264256 has 112 divisors (see below), whose sum is σ = 26506992960. Its totient is φ = 4208947200.

The previous prime is 10746264253. The next prime is 10746264257. The reversal of 10746264256 is 65246264701.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (10746264253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579090 + ... + 597358.

It is an arithmetic number, because the mean of its divisors is an integer number (236669580).

Almost surely, 2^10746264256 is an apocalyptic number.

10746264256 is a gapful number since it is divisible by the number (16) 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 10746264256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13253496480).

10746264256 is an abundant number, since it is smaller than the sum of its proper divisors (15760728704).

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

10746264256 is a wasteful number, since it uses less digits than its factorization.

10746264256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18402 (or 18392 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 10746264256 in words is "ten billion, seven hundred forty-six million, two hundred sixty-four thousand, two hundred fifty-six".