850138842100 has 18 divisors (see below), whose sum is σ = 1844801287574. Its totient is φ = 340055536800.

The previous prime is 850138842079. The next prime is 850138842101. The reversal of 850138842100 is 1248831058.

850138842100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 49979967844 + 800158874256 = 223562^2 + 894516^2 .

It is a super-3 number, since 3×850138842100³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850138842101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4250694111 + ... + 4250694310.

Almost surely, 2^850138842100 is an apocalyptic number.

It is an amenable number.

850138842100 is an abundant number, since it is smaller than the sum of its proper divisors (994662445474).

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

850138842100 is a wasteful number, since it uses less digits than its factorization.

850138842100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8501388435 (or 8501388428 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 850138842100 in words is "eight hundred fifty billion, one hundred thirty-eight million, eight hundred forty-two thousand, one hundred".