83881650900 has 288 divisors, whose sum is σ = 258283468800. Its totient is φ = 20974891520.

The previous prime is 83881650863. The next prime is 83881650901. The reversal of 83881650900 is 905618838.

It is a super-2 number, since 2×83881650900² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83881650900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83881650901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85331809 + ... + 85332791.

It is an arithmetic number, because the mean of its divisors is an integer number (896817600).

Almost surely, 2^83881650900 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 83881650900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129141734400).

83881650900 is an abundant number, since it is smaller than the sum of its proper divisors (174401817900).

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

83881650900 is a wasteful number, since it uses less digits than its factorization.

83881650900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 83881650900 in words is "eighty-three billion, eight hundred eighty-one million, six hundred fifty thousand, nine hundred".