83850511200 has 576 divisors, whose sum is σ = 309580185600. Its totient is φ = 19601049600.

The previous prime is 83850511111. The next prime is 83850511211. The reversal of 83850511200 is 211505838.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32511511 + ... + 32514089.

It is an arithmetic number, because the mean of its divisors is an integer number (537465600).

Almost surely, 2^83850511200 is an apocalyptic number.

83850511200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83850511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154790092800).

83850511200 is an abundant number, since it is smaller than the sum of its proper divisors (225729674400).

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

83850511200 is a wasteful number, since it uses less digits than its factorization.

83850511200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 83850511200 in words is "eighty-three billion, eight hundred fifty million, five hundred eleven thousand, two hundred".