10200209985 has 128 divisors (see below), whose sum is σ = 21275136000. Its totient is φ = 4540548096.

The previous prime is 10200209953. The next prime is 10200210019. The reversal of 10200209985 is 58990200201.

It is not a de Polignac number, because 10200209985 - 2⁵ = 10200209953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6299506 + ... + 6301124.

It is an arithmetic number, because the mean of its divisors is an integer number (166212000).

Almost surely, 2^10200209985 is an apocalyptic number.

10200209985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10200209985 is an abundant number, since it is smaller than the sum of its proper divisors (11074926015).

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

10200209985 is a wasteful number, since it uses less digits than its factorization.

10200209985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 10200209985 in words is "ten billion, two hundred million, two hundred nine thousand, nine hundred eighty-five".