1685411828100 has 1152 divisors, whose sum is σ = 7394886696960. Its totient is φ = 317945088000.

The previous prime is 1685411828081. The next prime is 1685411828117. The reversal of 1685411828100 is 18281145861.

1685411828100 is a `hidden beast` number, since 1 + 6 + 85 + 411 + 82 + 81 + 0 + 0 = 666.

It is a super-2 number, since 2×1685411828100² (a number of 25 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 164859589 + ... + 164869811.

It is an arithmetic number, because the mean of its divisors is an integer number (6419172480).

Almost surely, 2^{1685411828100} is an apocalyptic number.

1685411828100 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 1685411828100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697443348480).

1685411828100 is an abundant number, since it is smaller than the sum of its proper divisors (5709474868860).

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

1685411828100 is a wasteful number, since it uses less digits than its factorization.

1685411828100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10338 (or 10325 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 1685411828100 in words is "one trillion, six hundred eighty-five billion, four hundred eleven million, eight hundred twenty-eight thousand, one hundred".