83016931200 has 768 divisors, whose sum is σ = 331478784000. Its totient is φ = 17856921600.

The previous prime is 83016931199. The next prime is 83016931219. The reversal of 83016931200 is 213961038.

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, 79900281 + ... + 79901319.

It is an arithmetic number, because the mean of its divisors is an integer number (431613000).

Almost surely, 2^83016931200 is an apocalyptic number.

83016931200 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 83016931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165739392000).

83016931200 is an abundant number, since it is smaller than the sum of its proper divisors (248461852800).

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

83016931200 is a wasteful number, since it uses less digits than its factorization.

83016931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 83016931200 in words is "eighty-three billion, sixteen million, nine hundred thirty-one thousand, two hundred".