11961374208 has 320 divisors, whose sum is σ = 37886289408. Its totient is φ = 3282370560.

The previous prime is 11961374177. The next prime is 11961374221. The reversal of 11961374208 is 80247316911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 11961374208.

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, 42567028 + ... + 42567308.

Almost surely, 2^11961374208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11961374208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18943144704).

11961374208 is an abundant number, since it is smaller than the sum of its proper divisors (25924915200).

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

11961374208 is a wasteful number, since it uses less digits than its factorization.

11961374208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 11961374208 in words is "eleven billion, nine hundred sixty-one million, three hundred seventy-four thousand, two hundred eight".