1685337053400 has 2592 divisors, whose sum is σ = 7984998927360. Its totient is φ = 311351040000.

The previous prime is 1685337053399. The next prime is 1685337053471. The reversal of 1685337053400 is 43507335861.

1685337053400 is a `hidden beast` number, since 1 + 6 + 8 + 533 + 70 + 5 + 3 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 647 ways as a sum of consecutive naturals, for example, 7987379295 + ... + 7987379505.

Almost surely, 2^{1685337053400} is an apocalyptic number.

1685337053400 is a gapful number since it is divisible by the number (10) 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 1685337053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992499463680).

1685337053400 is an abundant number, since it is smaller than the sum of its proper divisors (6299661873960).

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

1685337053400 is a wasteful number, since it uses less digits than its factorization.

1685337053400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 1685337053400 in words is "one trillion, six hundred eighty-five billion, three hundred thirty-seven million, fifty-three thousand, four hundred".