11969513136 has 240 divisors, whose sum is σ = 41225932800. Its totient is φ = 3163871232.

The previous prime is 11969513111. The next prime is 11969513161. The reversal of 11969513136 is 63131596911.

11969513136 is a `hidden beast` number, since 11 + 96 + 9 + 513 + 1 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (11969513111) and next prime (11969513161).

It is a junction number, because it is equal to n+sod(n) for n = 11969513091 and 11969513100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1005105 + ... + 1016943.

It is an arithmetic number, because the mean of its divisors is an integer number (171774720).

Almost surely, 2^11969513136 is an apocalyptic number.

11969513136 is a gapful number since it is divisible by the number (16) 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 11969513136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20612966400).

11969513136 is an abundant number, since it is smaller than the sum of its proper divisors (29256419664).

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

11969513136 is a wasteful number, since it uses less digits than its factorization.

11969513136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11936 (or 11927 counting only the distinct ones).

The product of its digits is 131220, while the sum is 45.

The spelling of 11969513136 in words is "eleven billion, nine hundred sixty-nine million, five hundred thirteen thousand, one hundred thirty-six".