83965870080 has 896 divisors, whose sum is σ = 326631682800. Its totient is φ = 20639121408.

The previous prime is 83965870007. The next prime is 83965870097. The reversal of 83965870080 is 8007856938.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 83965869999 and 83965870026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2269347822 + ... + 2269347858.

Almost surely, 2^83965870080 is an apocalyptic number.

83965870080 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 83965870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163315841400).

83965870080 is an abundant number, since it is smaller than the sum of its proper divisors (242665812720).

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

83965870080 is an frugal number, since it uses more digits than its factorization.

83965870080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 83965870080 in words is "eighty-three billion, nine hundred sixty-five million, eight hundred seventy thousand, eighty".