10556840320 has 128 divisors (see below), whose sum is σ = 27297648000. Its totient is φ = 3880869888.

The previous prime is 10556840317. The next prime is 10556840321. The reversal of 10556840320 is 2304865501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10556840320² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10556840321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1985826 + ... + 1991134.

It is an arithmetic number, because the mean of its divisors is an integer number (213262875).

Almost surely, 2^10556840320 is an apocalyptic number.

10556840320 is a gapful number since it is divisible by the number (10) 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 10556840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13648824000).

10556840320 is an abundant number, since it is smaller than the sum of its proper divisors (16740807680).

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

10556840320 is a wasteful number, since it uses less digits than its factorization.

10556840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5580 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 10556840320 in words is "ten billion, five hundred fifty-six million, eight hundred forty thousand, three hundred twenty".