82690037194212 has 1536 divisors, whose sum is σ = 284562948096000. Its totient is φ = 20220381941760.

The previous prime is 82690037194111. The next prime is 82690037194217. The reversal of 82690037194212 is 21249173009628.

82690037194212 is a `hidden beast` number, since 8 + 269 + 0 + 0 + 371 + 9 + 4 + 2 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82690037194217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 75654196338 + ... + 75654197430.

It is an arithmetic number, because the mean of its divisors is an integer number (185262336000).

Almost surely, 2^{82690037194212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82690037194212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142281474048000).

82690037194212 is an abundant number, since it is smaller than the sum of its proper divisors (201872910901788).

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

82690037194212 is a wasteful number, since it uses less digits than its factorization.

82690037194212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 82690037194212 in words is "eighty-two trillion, six hundred ninety billion, thirty-seven million, one hundred ninety-four thousand, two hundred twelve".