82017293181120 has 336 divisors, whose sum is σ = 310923957341088. Its totient is φ = 19678000250880.

The previous prime is 82017293181119. The next prime is 82017293181137. The reversal of 82017293181120 is 2118139271028.

82017293181120 is a `hidden beast` number, since 8 + 201 + 7 + 2 + 9 + 318 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10272039 + ... + 16417958.

It is an arithmetic number, because the mean of its divisors is an integer number (925368920658).

Almost surely, 2^{82017293181120} is an apocalyptic number.

82017293181120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82017293181120 is an abundant number, since it is smaller than the sum of its proper divisors (228906664159968).

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

82017293181120 is a wasteful number, since it uses less digits than its factorization.

82017293181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26690128 (or 26690115 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 82017293181120 in words is "eighty-two trillion, seventeen billion, two hundred ninety-three million, one hundred eighty-one thousand, one hundred twenty".