10456676602000 has 80 divisors (see below), whose sum is σ = 25285395528432. Its totient is φ = 4182480153600.

The previous prime is 10456676601991. The next prime is 10456676602019. The reversal of 10456676602000 is 20667665401.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1662201661696 + 8794474940304 = 1289264^2 + 2965548^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 48839182 + ... + 49052818.

Almost surely, 2^{10456676602000} is an apocalyptic number.

10456676602000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10456676602000 is an abundant number, since it is smaller than the sum of its proper divisors (14828718926432).

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

10456676602000 is a wasteful number, since it uses less digits than its factorization.

10456676602000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238133 (or 238117 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 10456676602000 in words is "ten trillion, four hundred fifty-six billion, six hundred seventy-six million, six hundred two thousand".