11813097120 has 384 divisors, whose sum is σ = 41946170112. Its totient is φ = 2769715200.

The previous prime is 11813097113. The next prime is 11813097143. The reversal of 11813097120 is 2179031811.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 42646422 + ... + 42646698.

It is an arithmetic number, because the mean of its divisors is an integer number (109234818).

Almost surely, 2^11813097120 is an apocalyptic number.

11813097120 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 11813097120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20973085056).

11813097120 is an abundant number, since it is smaller than the sum of its proper divisors (30133072992).

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

11813097120 is a wasteful number, since it uses less digits than its factorization.

11813097120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The spelling of 11813097120 in words is "eleven billion, eight hundred thirteen million, ninety-seven thousand, one hundred twenty".