83275920000 has 1920 divisors, whose sum is σ = 389719249920. Its totient is φ = 16588800000.

The previous prime is 83275919999. The next prime is 83275920011. The reversal of 83275920000 is 2957238.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 2031119980 + ... + 2031120020.

It is an arithmetic number, because the mean of its divisors is an integer number (202978776).

Almost surely, 2^83275920000 is an apocalyptic number.

83275920000 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 83275920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194859624960).

83275920000 is an abundant number, since it is smaller than the sum of its proper divisors (306443329920).

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

83275920000 is a wasteful number, since it uses less digits than its factorization.

83275920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 83275920000 in words is "eighty-three billion, two hundred seventy-five million, nine hundred twenty thousand".