83416220720 has 80 divisors (see below), whose sum is σ = 221702030400. Its totient is φ = 28592980992.

The previous prime is 83416220689. The next prime is 83416220731. The reversal of 83416220720 is 2702261438.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2679806 + ... + 2710754.

It is an arithmetic number, because the mean of its divisors is an integer number (2771275380).

Almost surely, 2^83416220720 is an apocalyptic number.

83416220720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83416220720 is an abundant number, since it is smaller than the sum of its proper divisors (138285809680).

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

83416220720 is a wasteful number, since it uses less digits than its factorization.

83416220720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35782 (or 35776 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 83416220720 in words is "eighty-three billion, four hundred sixteen million, two hundred twenty thousand, seven hundred twenty".