82140788257983 has 288 divisors, whose sum is σ = 157489236043776. Its totient is φ = 40249014054912.

The previous prime is 82140788257951. The next prime is 82140788258063. The reversal of 82140788257983 is 38975288704128.

82140788257983 is a `hidden beast` number, since 8 + 2 + 1 + 40 + 7 + 8 + 8 + 2 + 579 + 8 + 3 = 666.

82140788257983 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 82140788257983 - 2⁵ = 82140788257951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82140788257883) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22339075741 + ... + 22339079417.

It is an arithmetic number, because the mean of its divisors is an integer number (546837625152).

Almost surely, 2^{82140788257983} is an apocalyptic number.

82140788257983 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

82140788257983 is a deficient number, since it is larger than the sum of its proper divisors (75348447785793).

82140788257983 is a wasteful number, since it uses less digits than its factorization.

82140788257983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5303 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 82140788257983 in words is "eighty-two trillion, one hundred forty billion, seven hundred eighty-eight million, two hundred fifty-seven thousand, nine hundred eighty-three".