10076813346996 has 96 divisors (see below), whose sum is σ = 28500960015360. Its totient is φ = 3053485317600.

The previous prime is 10076813346983. The next prime is 10076813347031. The reversal of 10076813346996 is 69964331867001.

10076813346996 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 6 + 81 + 3 + 3 + 469 + 96 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 44731081 + ... + 44955791.

It is an arithmetic number, because the mean of its divisors is an integer number (296885000160).

Almost surely, 2^{10076813346996} is an apocalyptic number.

It is an amenable number.

10076813346996 is an abundant number, since it is smaller than the sum of its proper divisors (18424146668364).

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

10076813346996 is a wasteful number, since it uses less digits than its factorization.

10076813346996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262482 (or 262474 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 10076813346996 in words is "ten trillion, seventy-six billion, eight hundred thirteen million, three hundred forty-six thousand, nine hundred ninety-six".