10605395300832 has 72 divisors (see below), whose sum is σ = 30166347818880. Its totient is φ = 3534281372160.

The previous prime is 10605395300821. The next prime is 10605395300849. The reversal of 10605395300832 is 23800359350601.

It is a happy number.

10605395300832 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 5 + 39 + 530 + 0 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10605395300832² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3229269 + ... + 5624852.

It is an arithmetic number, because the mean of its divisors is an integer number (418977053040).

Almost surely, 2^{10605395300832} is an apocalyptic number.

10605395300832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10605395300832 is an abundant number, since it is smaller than the sum of its proper divisors (19560952518048).

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

10605395300832 is a wasteful number, since it uses less digits than its factorization.

10605395300832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8858296 (or 8858285 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 10605395300832 in words is "ten trillion, six hundred five billion, three hundred ninety-five million, three hundred thousand, eight hundred thirty-two".