82966477120 has 28 divisors (see below), whose sum is σ = 197563924404. Its totient is φ = 33186590720.

The previous prime is 82966477117. The next prime is 82966477123. The reversal of 82966477120 is 2177466928.

It is an interprime number because it is at equal distance from previous prime (82966477117) and next prime (82966477123).

It can be written as a sum of positive squares in 2 ways, for example, as 48901130496 + 34065346624 = 221136^2 + 184568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82966477123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129634801 + ... + 129635440.

It is an arithmetic number, because the mean of its divisors is an integer number (7055854443).

Almost surely, 2^82966477120 is an apocalyptic number.

82966477120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82966477120 is an abundant number, since it is smaller than the sum of its proper divisors (114597447284).

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

82966477120 is a wasteful number, since it uses less digits than its factorization.

82966477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259270258 (or 259270248 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 82966477120 in words is "eighty-two billion, nine hundred sixty-six million, four hundred seventy-seven thousand, one hundred twenty".