92066441259520 has 1280 divisors, whose sum is σ = 288234351820800. Its totient is φ = 27994595328000.

The previous prime is 92066441259517. The next prime is 92066441259521. The reversal of 92066441259520 is 2595214466029.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is not an unprimeable number, because it can be changed into a prime (92066441259521) 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, 53433801379 + ... + 53433803101.

It is an arithmetic number, because the mean of its divisors is an integer number (225183087360).

Almost surely, 2^{92066441259520} 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 92066441259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144117175910400).

92066441259520 is an abundant number, since it is smaller than the sum of its proper divisors (196167910561280).

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

92066441259520 is a wasteful number, since it uses less digits than its factorization.

92066441259520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 92066441259520 in words is "ninety-two trillion, sixty-six billion, four hundred forty-one million, two hundred fifty-nine thousand, five hundred twenty".