201680255700 has 2016 divisors, whose sum is σ = 903488839680. Its totient is φ = 37791360000.

The previous prime is 201680255683. The next prime is 201680255741. The reversal of 201680255700 is 7552086102.

It is a happy number.

201680255700 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 80 + 2 + 5 + 570 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 3306233670 + ... + 3306233730.

Almost surely, 2^201680255700 is an apocalyptic number.

201680255700 is a gapful number since it is divisible by the number (20) 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 201680255700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451744419840).

201680255700 is an abundant number, since it is smaller than the sum of its proper divisors (701808583980).

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

201680255700 is a wasteful number, since it uses less digits than its factorization.

201680255700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 201680255700 in words is "two hundred one billion, six hundred eighty million, two hundred fifty-five thousand, seven hundred".