10999756480 has 56 divisors (see below), whose sum is σ = 26452586160. Its totient is φ = 4356326400.

The previous prime is 10999756477. The next prime is 10999756487. The reversal of 10999756480 is 8465799901.

10999756480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10999756487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137850 + ... + 202489.

It is an arithmetic number, because the mean of its divisors is an integer number (472367610).

Almost surely, 2^10999756480 is an apocalyptic number.

10999756480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10999756480 is an abundant number, since it is smaller than the sum of its proper divisors (15452829680).

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

10999756480 is a wasteful number, since it uses less digits than its factorization.

10999756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340457 (or 340447 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 58.

It can be divided in two parts, 1099 and 9756480, that added together give a palindrome (9757579).

The spelling of 10999756480 in words is "ten billion, nine hundred ninety-nine million, seven hundred fifty-six thousand, four hundred eighty".