11791437504 has 112 divisors (see below), whose sum is σ = 38896478976. Its totient is φ = 3062707200.

The previous prime is 11791437479. The next prime is 11791437571. The reversal of 11791437504 is 40573419711.

11791437504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 384007 + ... + 413574.

Almost surely, 2^11791437504 is an apocalyptic number.

11791437504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11791437504 is an abundant number, since it is smaller than the sum of its proper divisors (27105041472).

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

11791437504 is a wasteful number, since it uses less digits than its factorization.

11791437504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797614 (or 797604 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The spelling of 11791437504 in words is "eleven billion, seven hundred ninety-one million, four hundred thirty-seven thousand, five hundred four".