90166005647760 has 1440 divisors, whose sum is σ = 350333492221440. Its totient is φ = 19116131155968.

The previous prime is 90166005647701. The next prime is 90166005647789. The reversal of 90166005647760 is 6774650066109.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 90166005647760.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33039942076 + ... + 33039944804.

It is an arithmetic number, because the mean of its divisors is an integer number (243287147376).

Almost surely, 2^{90166005647760} 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 90166005647760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175166746110720).

90166005647760 is an abundant number, since it is smaller than the sum of its proper divisors (260167486573680).

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

90166005647760 is a wasteful number, since it uses less digits than its factorization.

90166005647760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 90166005647760 in words is "ninety trillion, one hundred sixty-six billion, five million, six hundred forty-seven thousand, seven hundred sixty".