11921790720 has 288 divisors, whose sum is σ = 44694332928. Its totient is φ = 2651111424.

The previous prime is 11921790677. The next prime is 11921790731. The reversal of 11921790720 is 2709712911.

It is a congruent number.

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, 988567 + ... + 1000553.

It is an arithmetic number, because the mean of its divisors is an integer number (155188656).

Almost surely, 2^11921790720 is an apocalyptic number.

11921790720 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 11921790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22347166464).

11921790720 is an abundant number, since it is smaller than the sum of its proper divisors (32772542208).

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

11921790720 is a wasteful number, since it uses less digits than its factorization.

11921790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12055 (or 12041 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 39.

The spelling of 11921790720 in words is "eleven billion, nine hundred twenty-one million, seven hundred ninety thousand, seven hundred twenty".