10956516380676 has 96 divisors (see below), whose sum is σ = 28450234552320. Its totient is φ = 3646460114208.

The previous prime is 10956516380653. The next prime is 10956516380699. The reversal of 10956516380676 is 67608361565901.

10956516380676 is a `hidden beast` number, since 1 + 0 + 9 + 56 + 516 + 3 + 8 + 0 + 67 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10956516380653) and next prime (10956516380699).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274009381 + ... + 274049363.

It is an arithmetic number, because the mean of its divisors is an integer number (296356609920).

Almost surely, 2^{10956516380676} is an apocalyptic number.

It is an amenable number.

10956516380676 is an abundant number, since it is smaller than the sum of its proper divisors (17493718171644).

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

10956516380676 is a wasteful number, since it uses less digits than its factorization.

10956516380676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43902 (or 43894 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 10956516380676 in words is "ten trillion, nine hundred fifty-six billion, five hundred sixteen million, three hundred eighty thousand, six hundred seventy-six".