11310792720 has 160 divisors (see below), whose sum is σ = 37201428480. Its totient is φ = 2834818560.

The previous prime is 11310792719. The next prime is 11310792721. The reversal of 11310792720 is 2729701311.

It is an interprime number because it is at equal distance from previous prime (11310792719) and next prime (11310792721).

It is not an unprimeable number, because it can be changed into a prime (11310792721) 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, 569355 + ... + 588885.

It is an arithmetic number, because the mean of its divisors is an integer number (232508928).

Almost surely, 2^11310792720 is an apocalyptic number.

11310792720 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 11310792720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600714240).

11310792720 is an abundant number, since it is smaller than the sum of its proper divisors (25890635760).

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

11310792720 is a wasteful number, since it uses less digits than its factorization.

11310792720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19693 (or 19687 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The spelling of 11310792720 in words is "eleven billion, three hundred ten million, seven hundred ninety-two thousand, seven hundred twenty".