12589690320 has 240 divisors, whose sum is σ = 46441848960. Its totient is φ = 3042192384.

The previous prime is 12589690313. The next prime is 12589690327. The reversal of 12589690320 is 2309698521.

12589690320 is a `hidden beast` number, since 1 + 2 + 589 + 69 + 0 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12589690313) and next prime (12589690327).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12589690327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294634 + ... + 334646.

It is an arithmetic number, because the mean of its divisors is an integer number (193507704).

Almost surely, 2^12589690320 is an apocalyptic number.

12589690320 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 12589690320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23220924480).

12589690320 is an abundant number, since it is smaller than the sum of its proper divisors (33852158640).

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

12589690320 is a wasteful number, since it uses less digits than its factorization.

12589690320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40074 (or 40065 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

It can be divided in two parts, 1 and 2589690320, that added together give a square (2589690321 = 50889²).

The spelling of 12589690320 in words is "twelve billion, five hundred eighty-nine million, six hundred ninety thousand, three hundred twenty".