12611513376 has 1008 divisors, whose sum is σ = 50867520480. Its totient is φ = 3030773760.

The previous prime is 12611513353. The next prime is 12611513407. The reversal of 12611513376 is 67331511621.

12611513376 is a `hidden beast` number, since 1 + 2 + 611 + 5 + 1 + 3 + 37 + 6 = 666.

12611513376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 12611513376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 213754435 + ... + 213754493.

It is an arithmetic number, because the mean of its divisors is an integer number (50463810).

Almost surely, 2^12611513376 is an apocalyptic number.

12611513376 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 12611513376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25433760240).

12611513376 is an abundant number, since it is smaller than the sum of its proper divisors (38256007104).

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

12611513376 is a wasteful number, since it uses less digits than its factorization.

12611513376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The spelling of 12611513376 in words is "twelve billion, six hundred eleven million, five hundred thirteen thousand, three hundred seventy-six".