83956129280 has 160 divisors (see below), whose sum is σ = 213627443040. Its totient is φ = 31534612480.

The previous prime is 83956129277. The next prime is 83956129343. The reversal of 83956129280 is 8292165938.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21366356 + ... + 21370284.

It is an arithmetic number, because the mean of its divisors is an integer number (1335171519).

Almost surely, 2^83956129280 is an apocalyptic number.

83956129280 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 83956129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106813721520).

83956129280 is an abundant number, since it is smaller than the sum of its proper divisors (129671313760).

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

83956129280 is a wasteful number, since it uses less digits than its factorization.

83956129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 53.

The spelling of 83956129280 in words is "eighty-three billion, nine hundred fifty-six million, one hundred twenty-nine thousand, two hundred eighty".