83884032000 has 960 divisors, whose sum is σ = 326327863680. Its totient is φ = 21233664000.

The previous prime is 83884031989. The next prime is 83884032013. The reversal of 83884032000 is 23048838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2045951980 + ... + 2045952020.

It is an arithmetic number, because the mean of its divisors is an integer number (339924858).

Almost surely, 2^83884032000 is an apocalyptic number.

83884032000 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 83884032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163163931840).

83884032000 is an abundant number, since it is smaller than the sum of its proper divisors (242443831680).

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

83884032000 is an equidigital number, since it uses as much as digits as its factorization.

83884032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 83884032000 in words is "eighty-three billion, eight hundred eighty-four million, thirty-two thousand".