1685612113920 has 2496 divisors, whose sum is σ = 7607404486656. Its totient is φ = 336341237760.

The previous prime is 1685612113849. The next prime is 1685612113963. The reversal of 1685612113920 is 293112165861.

It is a happy number.

1685612113920 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 612 + 1 + 1 + 3 + 9 + 20 = 666.

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

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, 25158389727 + ... + 25158389793.

It is an arithmetic number, because the mean of its divisors is an integer number (3047838336).

Almost surely, 2^{1685612113920} is an apocalyptic number.

1685612113920 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 1685612113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803702243328).

1685612113920 is an abundant number, since it is smaller than the sum of its proper divisors (5921792372736).

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

1685612113920 is a wasteful number, since it uses less digits than its factorization.

1685612113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1685612113920 in words is "one trillion, six hundred eighty-five billion, six hundred twelve million, one hundred thirteen thousand, nine hundred twenty".