11931819120 has 480 divisors, whose sum is σ = 45808526400. Its totient is φ = 2775472128.

The previous prime is 11931819113. The next prime is 11931819149. The reversal of 11931819120 is 2191813911.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30054762 + ... + 30055158.

It is an arithmetic number, because the mean of its divisors is an integer number (95434430).

Almost surely, 2^11931819120 is an apocalyptic number.

11931819120 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 11931819120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22904263200).

11931819120 is an abundant number, since it is smaller than the sum of its proper divisors (33876707280).

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

11931819120 is a wasteful number, since it uses less digits than its factorization.

11931819120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The spelling of 11931819120 in words is "eleven billion, nine hundred thirty-one million, eight hundred nineteen thousand, one hundred twenty".