1685856987360 has 1152 divisors, whose sum is σ = 7826865459840. Its totient is φ = 334764638208.

The previous prime is 1685856987323. The next prime is 1685856987371. The reversal of 1685856987360 is 637896585861.

It is a happy number.

1685856987360 is a `hidden beast` number, since 1 + 6 + 8 + 58 + 569 + 8 + 7 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×1685856987360² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46763262 + ... + 46799298.

It is an arithmetic number, because the mean of its divisors is an integer number (6794154045).

Almost surely, 2^{1685856987360} is an apocalyptic number.

1685856987360 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 1685856987360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913432729920).

1685856987360 is an abundant number, since it is smaller than the sum of its proper divisors (6141008472480).

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

1685856987360 is a wasteful number, since it uses less digits than its factorization.

1685856987360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36105 (or 36084 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 1685856987360 in words is "one trillion, six hundred eighty-five billion, eight hundred fifty-six million, nine hundred eighty-seven thousand, three hundred sixty".