10790499720 has 768 divisors, whose sum is σ = 45463783680. Its totient is φ = 2012774400.

The previous prime is 10790499697. The next prime is 10790499739. The reversal of 10790499720 is 2799409701.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10790499720.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34474284 + ... + 34474596.

It is an arithmetic number, because the mean of its divisors is an integer number (59197635).

Almost surely, 2^10790499720 is an apocalyptic number.

10790499720 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 10790499720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22731891840).

10790499720 is an abundant number, since it is smaller than the sum of its proper divisors (34673283960).

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

10790499720 is a wasteful number, since it uses less digits than its factorization.

10790499720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 48.

The spelling of 10790499720 in words is "ten billion, seven hundred ninety million, four hundred ninety-nine thousand, seven hundred twenty".