82131220080 has 960 divisors, whose sum is σ = 372894133248. Its totient is φ = 16303472640.

The previous prime is 82131220027. The next prime is 82131220081. The reversal of 82131220080 is 8002213128.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82131220081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30072315 + ... + 30075045.

Almost surely, 2^82131220080 is an apocalyptic number.

82131220080 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 82131220080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186447066624).

82131220080 is an abundant number, since it is smaller than the sum of its proper divisors (290762913168).

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

82131220080 is a wasteful number, since it uses less digits than its factorization.

82131220080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 82131220080 in words is "eighty-two billion, one hundred thirty-one million, two hundred twenty thousand, eighty".