11971015056 has 1280 divisors, whose sum is σ = 51196723200. Its totient is φ = 2575411200.

The previous prime is 11971015013. The next prime is 11971015061. The reversal of 11971015056 is 65051017911.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11971015056.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 254702425 + ... + 254702471.

It is an arithmetic number, because the mean of its divisors is an integer number (39997440).

Almost surely, 2^11971015056 is an apocalyptic number.

11971015056 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 11971015056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25598361600).

11971015056 is an abundant number, since it is smaller than the sum of its proper divisors (39225708144).

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

11971015056 is a wasteful number, since it uses less digits than its factorization.

11971015056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 36.

The spelling of 11971015056 in words is "eleven billion, nine hundred seventy-one million, fifteen thousand, fifty-six".