10205349486696 has 1152 divisors, whose sum is σ = 37353421123200. Its totient is φ = 2485869281280.

The previous prime is 10205349486671. The next prime is 10205349486707. The reversal of 10205349486696 is 69668494350201.

10205349486696 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 5 + 3 + 494 + 86 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 11583824176 + ... + 11583825056.

It is an arithmetic number, because the mean of its divisors is an integer number (32424844725).

Almost surely, 2^{10205349486696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10205349486696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18676710561600).

10205349486696 is an abundant number, since it is smaller than the sum of its proper divisors (27148071636504).

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

10205349486696 is a wasteful number, since it uses less digits than its factorization.

10205349486696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 10205349486696 in words is "ten trillion, two hundred five billion, three hundred forty-nine million, four hundred eighty-six thousand, six hundred ninety-six".