12581730000 has 750 divisors, whose sum is σ = 53100678906. Its totient is φ = 2866752000.

The previous prime is 12581729987. The next prime is 12581730013. The reversal of 12581730000 is 3718521.

12581730000 is a `hidden beast` number, since 12 + 581 + 73 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12581729987) and next prime (12581730013).

It can be written as a sum of positive squares in 5 ways, for example, as 8321818176 + 4259911824 = 91224^2 + 65268^2 .

It is a tau number, because it is divible by the number of its divisors (750).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 39689842 + ... + 39690158.

Almost surely, 2^12581730000 is an apocalyptic number.

12581730000 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 12581730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26550339453).

12581730000 is an abundant number, since it is smaller than the sum of its proper divisors (40518948906).

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

12581730000 is an equidigital number, since it uses as much as digits as its factorization.

12581730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 12581730000 in words is "twelve billion, five hundred eighty-one million, seven hundred thirty thousand".