20082264792975 has 240 divisors, whose sum is σ = 46400098060800. Its totient is φ = 8341961644800.

The previous prime is 20082264792893. The next prime is 20082264793037. The reversal of 20082264792975 is 57929746228002.

20082264792975 is a `hidden beast` number, since 2 + 0 + 0 + 82 + 264 + 7 + 9 + 297 + 5 = 666.

It is a Cunningham number, because it is equal to 4481324²-1.

It is not a de Polignac number, because 20082264792975 - 2⁹ = 20082264792463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 345032926 + ... + 345091124.

It is an arithmetic number, because the mean of its divisors is an integer number (193333741920).

Almost surely, 2^{20082264792975} is an apocalyptic number.

20082264792975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20082264792975 is an abundant number, since it is smaller than the sum of its proper divisors (26317833267825).

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

20082264792975 is a wasteful number, since it uses less digits than its factorization.

20082264792975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60452 (or 60438 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 20082264792975 in words is "twenty trillion, eighty-two billion, two hundred sixty-four million, seven hundred ninety-two thousand, nine hundred seventy-five".