11813401500 has 96 divisors (see below), whose sum is σ = 34648723200. Its totient is φ = 3127521600.

The previous prime is 11813401499. The next prime is 11813401531. The reversal of 11813401500 is 510431811.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180171 + ... + 236829.

It is an arithmetic number, because the mean of its divisors is an integer number (360924200).

Almost surely, 2^11813401500 is an apocalyptic number.

11813401500 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 11813401500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17324361600).

11813401500 is an abundant number, since it is smaller than the sum of its proper divisors (22835321700).

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

11813401500 is a wasteful number, since it uses less digits than its factorization.

11813401500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56820 (or 56808 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The spelling of 11813401500 in words is "eleven billion, eight hundred thirteen million, four hundred one thousand, five hundred".