11696957440 has 384 divisors, whose sum is σ = 35239276800. Its totient is φ = 3633315840.

The previous prime is 11696957407. The next prime is 11696957453. The reversal of 11696957440 is 4475969611.

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, 35338075 + ... + 35338405.

It is an arithmetic number, because the mean of its divisors is an integer number (91768950).

Almost surely, 2^11696957440 is an apocalyptic number.

11696957440 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 11696957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17619638400).

11696957440 is an abundant number, since it is smaller than the sum of its proper divisors (23542319360).

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

11696957440 is a wasteful number, since it uses less digits than its factorization.

11696957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 11696957440 in words is "eleven billion, six hundred ninety-six million, nine hundred fifty-seven thousand, four hundred forty".