10066092288 has 144 divisors (see below), whose sum is σ = 30662747136. Its totient is φ = 2871797760.

The previous prime is 10066092277. The next prime is 10066092307. The reversal of 10066092288 is 88229066001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6574083 + ... + 6575613.

It is an arithmetic number, because the mean of its divisors is an integer number (212935744).

Almost surely, 2^10066092288 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 10066092288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331373568).

10066092288 is an abundant number, since it is smaller than the sum of its proper divisors (20596654848).

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

10066092288 is a wasteful number, since it uses less digits than its factorization.

10066092288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 10066092288 in words is "ten billion, sixty-six million, ninety-two thousand, two hundred eighty-eight".