10976014112256 has 240 divisors, whose sum is σ = 31959623776080. Its totient is φ = 3626178969600.

The previous prime is 10976014112249. The next prime is 10976014112281. The reversal of 10976014112256 is 65221141067901.

10976014112256 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 6 + 0 + 1 + 411 + 225 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384933456 + ... + 384961968.

It is an arithmetic number, because the mean of its divisors is an integer number (133165099067).

Almost surely, 2^{10976014112256} is an apocalyptic number.

10976014112256 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 10976014112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15979811888040).

10976014112256 is an abundant number, since it is smaller than the sum of its proper divisors (20983609663824).

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

10976014112256 is a wasteful number, since it uses less digits than its factorization.

10976014112256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29277 (or 29258 counting only the distinct ones).

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

The spelling of 10976014112256 in words is "ten trillion, nine hundred seventy-six billion, fourteen million, one hundred twelve thousand, two hundred fifty-six".