1685954975904 has 576 divisors, whose sum is σ = 5578844544000. Its totient is φ = 479403048960.

The previous prime is 1685954975897. The next prime is 1685954975917. The reversal of 1685954975904 is 4095794595861.

1685954975904 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 9 + 549 + 75 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256649932 + ... + 256656500.

It is an arithmetic number, because the mean of its divisors is an integer number (9685494000).

Almost surely, 2^{1685954975904} 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 1685954975904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789422272000).

1685954975904 is an abundant number, since it is smaller than the sum of its proper divisors (3892889568096).

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

1685954975904 is a wasteful number, since it uses less digits than its factorization.

1685954975904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6741 (or 6730 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 72.

The spelling of 1685954975904 in words is "one trillion, six hundred eighty-five billion, nine hundred fifty-four million, nine hundred seventy-five thousand, nine hundred four".