10344216563010 has 96 divisors (see below), whose sum is σ = 29358905284800. Its totient is φ = 2506069584000.

The previous prime is 10344216562919. The next prime is 10344216563039. The reversal of 10344216563010 is 1036561244301.

10344216563010 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 4 + 2 + 1 + 6 + 5 + 630 + 10 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1839216 + ... + 4906235.

It is an arithmetic number, because the mean of its divisors is an integer number (305821930050).

Almost surely, 2^{10344216563010} is an apocalyptic number.

10344216563010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10344216563010 is an abundant number, since it is smaller than the sum of its proper divisors (19014688721790).

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

10344216563010 is a wasteful number, since it uses less digits than its factorization.

10344216563010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6747024 (or 6747021 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10344216563010 in words is "ten trillion, three hundred forty-four billion, two hundred sixteen million, five hundred sixty-three thousand, ten".