11975249736 has 128 divisors (see below), whose sum is σ = 34755840000. Its totient is φ = 3813251904.

The previous prime is 11975249731. The next prime is 11975249771. The reversal of 11975249736 is 63794257911.

11975249736 is a `hidden beast` number, since 11 + 97 + 52 + 497 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11975249731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6949371 + ... + 6951093.

It is an arithmetic number, because the mean of its divisors is an integer number (271530000).

Almost surely, 2^11975249736 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 11975249736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17377920000).

11975249736 is an abundant number, since it is smaller than the sum of its proper divisors (22780590264).

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

11975249736 is a wasteful number, since it uses less digits than its factorization.

11975249736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3150 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 11975249736 in words is "eleven billion, nine hundred seventy-five million, two hundred forty-nine thousand, seven hundred thirty-six".