83005797966 has 384 divisors, whose sum is σ = 228155719680. Its totient is φ = 19576166400.

The previous prime is 83005797913. The next prime is 83005797967. The reversal of 83005797966 is 66979750038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83005797967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 347304475 + ... + 347304713.

It is an arithmetic number, because the mean of its divisors is an integer number (594155520).

Almost surely, 2^83005797966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83005797966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114077859840).

83005797966 is an abundant number, since it is smaller than the sum of its proper divisors (145149921714).

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

83005797966 is a wasteful number, since it uses less digits than its factorization.

83005797966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 83005797966 in words is "eighty-three billion, five million, seven hundred ninety-seven thousand, nine hundred sixty-six".