1005685493360 has 40 divisors (see below), whose sum is σ = 2461282921680. Its totient is φ = 381101870592.

The previous prime is 1005685493357. The next prime is 1005685493381. The reversal of 1005685493360 is 633945865001.

It is a happy number.

1005685493360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1005685493360² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005685493299 and 1005685493308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330816077 + ... + 330819116.

It is an arithmetic number, because the mean of its divisors is an integer number (61532073042).

Almost surely, 2^{1005685493360} is an apocalyptic number.

1005685493360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005685493360 is an abundant number, since it is smaller than the sum of its proper divisors (1455597428320).

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

1005685493360 is a wasteful number, since it uses less digits than its factorization.

1005685493360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661635225 (or 661635219 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 50.

The spelling of 1005685493360 in words is "one trillion, five billion, six hundred eighty-five million, four hundred ninety-three thousand, three hundred sixty".