12566007090 has 320 divisors, whose sum is σ = 41898447360. Its totient is φ = 2631398400.

The previous prime is 12566007073. The next prime is 12566007101. The reversal of 12566007090 is 9070066521.

12566007090 is a `hidden beast` number, since 1 + 2 + 566 + 0 + 0 + 7 + 0 + 90 = 666.

It is a Curzon 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 159 ways as a sum of consecutive naturals, for example, 11129646 + ... + 11130774.

It is an arithmetic number, because the mean of its divisors is an integer number (130932648).

Almost surely, 2^12566007090 is an apocalyptic number.

12566007090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12566007090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20949223680).

12566007090 is an abundant number, since it is smaller than the sum of its proper divisors (29332440270).

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

12566007090 is a wasteful number, since it uses less digits than its factorization.

12566007090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 12566007090 in words is "twelve billion, five hundred sixty-six million, seven thousand, ninety".