82000993312272 has 80 divisors (see below), whose sum is σ = 212037766303680. Its totient is φ = 27307619652096.

The previous prime is 82000993312237. The next prime is 82000993312279. The reversal of 82000993312272 is 27221339900028.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (82000993312279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1902862758 + ... + 1902905850.

It is an arithmetic number, because the mean of its divisors is an integer number (2650472078796).

Almost surely, 2^{82000993312272} is an apocalyptic number.

It is an amenable number.

82000993312272 is an abundant number, since it is smaller than the sum of its proper divisors (130036772991408).

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

82000993312272 is a wasteful number, since it uses less digits than its factorization.

82000993312272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79960 (or 79954 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 82000993312272 in words is "eighty-two trillion, nine hundred ninety-three million, three hundred twelve thousand, two hundred seventy-two".