83402009568 has 72 divisors (see below), whose sum is σ = 237333915000. Its totient is φ = 27781979904.

The previous prime is 83402009557. The next prime is 83402009573. The reversal of 83402009568 is 86590020438.

83402009568 is a `hidden beast` number, since 83 + 4 + 0 + 2 + 0 + 0 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 335118 + ... + 528306.

It is an arithmetic number, because the mean of its divisors is an integer number (3296304375).

Almost surely, 2^83402009568 is an apocalyptic number.

It is an amenable number.

83402009568 is an abundant number, since it is smaller than the sum of its proper divisors (153931905432).

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

83402009568 is a wasteful number, since it uses less digits than its factorization.

83402009568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194704 (or 194693 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 83402009568 in words is "eighty-three billion, four hundred two million, nine thousand, five hundred sixty-eight".