83019121920 has 864 divisors, whose sum is σ = 362831519232. Its totient is φ = 17076584448.

The previous prime is 83019121891. The next prime is 83019121967. The reversal of 83019121920 is 2912191038.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31528924 + ... + 31531556.

It is an arithmetic number, because the mean of its divisors is an integer number (419943888).

Almost surely, 2^83019121920 is an apocalyptic number.

83019121920 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 83019121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181415759616).

83019121920 is an abundant number, since it is smaller than the sum of its proper divisors (279812397312).

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

83019121920 is a wasteful number, since it uses less digits than its factorization.

83019121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 83019121920 in words is "eighty-three billion, nineteen million, one hundred twenty-one thousand, nine hundred twenty".