83857000900 has 72 divisors (see below), whose sum is σ = 185386572000. Its totient is φ = 32915009280.

The previous prime is 83857000891. The next prime is 83857000901. The reversal of 83857000900 is 900075838.

It is not an unprimeable number, because it can be changed into a prime (83857000901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3344611 + ... + 3369589.

It is an arithmetic number, because the mean of its divisors is an integer number (2574813500).

Almost surely, 2^83857000900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83857000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92693286000).

83857000900 is an abundant number, since it is smaller than the sum of its proper divisors (101529571100).

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

83857000900 is a wasteful number, since it uses less digits than its factorization.

83857000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25621 (or 25614 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 83857000900 in words is "eighty-three billion, eight hundred fifty-seven million, nine hundred", and thus it is an aban number.