13411580976 has 180 divisors, whose sum is σ = 40701120408. Its totient is φ = 4108317696.

The previous prime is 13411580881. The next prime is 13411580981. The reversal of 13411580976 is 67908511431.

13411580976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13411580976² (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 4524871 + ... + 4527833.

Almost surely, 2^13411580976 is an apocalyptic number.

13411580976 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 13411580976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20350560204).

13411580976 is an abundant number, since it is smaller than the sum of its proper divisors (27289539432).

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

13411580976 is a wasteful number, since it uses less digits than its factorization.

13411580976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 13411580976 in words is "thirteen billion, four hundred eleven million, five hundred eighty thousand, nine hundred seventy-six".