11792138760 has 96 divisors (see below), whose sum is σ = 39743907840. Its totient is φ = 3144567744.

The previous prime is 11792138759. The next prime is 11792138767. The reversal of 11792138760 is 6783129711.

11792138760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11792138767) 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 23 ways as a sum of consecutive naturals, for example, 596872 + ... + 616311.

It is an arithmetic number, because the mean of its divisors is an integer number (413999040).

Almost surely, 2^11792138760 is an apocalyptic number.

11792138760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11792138760 is an abundant number, since it is smaller than the sum of its proper divisors (27951769080).

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

11792138760 is a wasteful number, since it uses less digits than its factorization.

11792138760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213209 (or 1213193 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 11792138760 in words is "eleven billion, seven hundred ninety-two million, one hundred thirty-eight thousand, seven hundred sixty".