11986974720 has 576 divisors, whose sum is σ = 50318573760. Its totient is φ = 2576351232.

The previous prime is 11986974691. The next prime is 11986974721. The reversal of 11986974720 is 2747968911.

11986974720 is a `hidden beast` number, since 1 + 1 + 9 + 86 + 97 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11986974721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10966494 + ... + 10967586.

It is an arithmetic number, because the mean of its divisors is an integer number (87358635).

Almost surely, 2^11986974720 is an apocalyptic number.

11986974720 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 11986974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25159286880).

11986974720 is an abundant number, since it is smaller than the sum of its proper divisors (38331599040).

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

11986974720 is a wasteful number, since it uses less digits than its factorization.

11986974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 11986974720 in words is "eleven billion, nine hundred eighty-six million, nine hundred seventy-four thousand, seven hundred twenty".