84284120200 has 96 divisors (see below), whose sum is σ = 224092353600. Its totient is φ = 28879683840.

The previous prime is 84284120183. The next prime is 84284120231. The reversal of 84284120200 is 202148248.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2374987 + ... + 2410213.

It is an arithmetic number, because the mean of its divisors is an integer number (2334295350).

Almost surely, 2^84284120200 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 84284120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112046176800).

84284120200 is an abundant number, since it is smaller than the sum of its proper divisors (139808233400).

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

84284120200 is a wasteful number, since it uses less digits than its factorization.

84284120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36959 (or 36950 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

Adding to 84284120200 its reverse (202148248), we get a palindrome (84486268448).

It can be divided in two parts, 842841 and 20200, that added together give a square (863041 = 929²).

The spelling of 84284120200 in words is "eighty-four billion, two hundred eighty-four million, one hundred twenty thousand, two hundred".