83085187784200 has 192 divisors, whose sum is σ = 226017855360000. Its totient is φ = 27809777399040.

The previous prime is 83085187784101. The next prime is 83085187784201. The reversal of 83085187784200 is 248778158038.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (83085187784201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118787101 + ... + 119484499.

It is an arithmetic number, because the mean of its divisors is an integer number (1177176330000).

Almost surely, 2^{83085187784200} 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 83085187784200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113008927680000).

83085187784200 is an abundant number, since it is smaller than the sum of its proper divisors (142932667575800).

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

83085187784200 is a wasteful number, since it uses less digits than its factorization.

83085187784200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699444 (or 699435 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 61.

The spelling of 83085187784200 in words is "eighty-three trillion, eighty-five billion, one hundred eighty-seven million, seven hundred eighty-four thousand, two hundred".