11915796605440 has 1440 divisors, whose sum is σ = 39438127048320. Its totient is φ = 3412637319168.

The previous prime is 11915796605437. The next prime is 11915796605441. The reversal of 11915796605440 is 4450669751911.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11915796605441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16390366357 + ... + 16390367083.

It is an arithmetic number, because the mean of its divisors is an integer number (27387588228).

Almost surely, 2^{11915796605440} is an apocalyptic number.

11915796605440 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 11915796605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19719063524160).

11915796605440 is an abundant number, since it is smaller than the sum of its proper divisors (27522330442880).

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

11915796605440 is a wasteful number, since it uses less digits than its factorization.

11915796605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 58.

The spelling of 11915796605440 in words is "eleven trillion, nine hundred fifteen billion, seven hundred ninety-six million, six hundred five thousand, four hundred forty".