12690459000 has 256 divisors, whose sum is σ = 44165721600. Its totient is φ = 3370896000.

The previous prime is 12690458987. The next prime is 12690459017. The reversal of 12690459000 is 95409621.

12690459000 is a `hidden beast` number, since 1 + 2 + 69 + 0 + 4 + 590 + 0 + 0 = 666.

It is a super-2 number, since 2×12690459000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8288235 + ... + 8289765.

It is an arithmetic number, because the mean of its divisors is an integer number (172522350).

Almost surely, 2^12690459000 is an apocalyptic number.

12690459000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12690459000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22082860800).

12690459000 is an abundant number, since it is smaller than the sum of its proper divisors (31475262600).

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

12690459000 is a wasteful number, since it uses less digits than its factorization.

12690459000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 12690459000 in words is "twelve billion, six hundred ninety million, four hundred fifty-nine thousand".