12761084952 has 512 divisors, whose sum is σ = 47307110400. Its totient is φ = 3111229440.

The previous prime is 12761084951. The next prime is 12761084971. The reversal of 12761084952 is 25948016721.

12761084952 is a `hidden beast` number, since 1 + 27 + 610 + 8 + 4 + 9 + 5 + 2 = 666.

12761084952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12761084898 and 12761084907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12761084951) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 34211838 + ... + 34212210.

It is an arithmetic number, because the mean of its divisors is an integer number (92396700).

Almost surely, 2^12761084952 is an apocalyptic number.

12761084952 is a gapful number since it is divisible by the number (12) 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 12761084952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23653555200).

12761084952 is an abundant number, since it is smaller than the sum of its proper divisors (34546025448).

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

12761084952 is a wasteful number, since it uses less digits than its factorization.

12761084952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12761084952 in words is "twelve billion, seven hundred sixty-one million, eighty-four thousand, nine hundred fifty-two".