83123640816780 has 384 divisors, whose sum is σ = 255596426588160. Its totient is φ = 20119794647040.

The previous prime is 83123640816767. The next prime is 83123640816781. The reversal of 83123640816780 is 8761804632138.

It is a self number, because there is not a number n which added to its sum of digits gives 83123640816780.

It is not an unprimeable number, because it can be changed into a prime (83123640816781) 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 127 ways as a sum of consecutive naturals, for example, 10486137177 + ... + 10486145103.

It is an arithmetic number, because the mean of its divisors is an integer number (665615694240).

Almost surely, 2^{83123640816780} 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 83123640816780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127798213294080).

83123640816780 is an abundant number, since it is smaller than the sum of its proper divisors (172472785771380).

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

83123640816780 is a wasteful number, since it uses less digits than its factorization.

83123640816780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13049 (or 13047 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 83123640816780 in words is "eighty-three trillion, one hundred twenty-three billion, six hundred forty million, eight hundred sixteen thousand, seven hundred eighty".