11807967024 has 160 divisors (see below), whose sum is σ = 39098211840. Its totient is φ = 3342083328.

The previous prime is 11807967013. The next prime is 11807967037. The reversal of 11807967024 is 42076970811.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305322 + ... + 341814.

It is an arithmetic number, because the mean of its divisors is an integer number (244363824).

Almost surely, 2^11807967024 is an apocalyptic number.

11807967024 is a gapful number since it is divisible by the number (14) 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 11807967024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19549105920).

11807967024 is an abundant number, since it is smaller than the sum of its proper divisors (27290244816).

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

11807967024 is a wasteful number, since it uses less digits than its factorization.

11807967024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36624 (or 36612 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 11807967024 in words is "eleven billion, eight hundred seven million, nine hundred sixty-seven thousand, twenty-four".