1685213433072 has 480 divisors, whose sum is σ = 5536237324800. Its totient is φ = 492367113216.

The previous prime is 1685213433061. The next prime is 1685213433077. The reversal of 1685213433072 is 2703343125861.

1685213433072 is a `hidden beast` number, since 1 + 68 + 521 + 34 + 3 + 30 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1685213433077) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161583954 + ... + 161594382.

It is an arithmetic number, because the mean of its divisors is an integer number (11533827760).

Almost surely, 2^{1685213433072} is an apocalyptic number.

1685213433072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1685213433072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768118662400).

1685213433072 is an abundant number, since it is smaller than the sum of its proper divisors (3851023891728).

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

1685213433072 is a wasteful number, since it uses less digits than its factorization.

1685213433072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10627 (or 10609 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1685213433072 in words is "one trillion, six hundred eighty-five billion, two hundred thirteen million, four hundred thirty-three thousand, seventy-two".