12590743680 has 384 divisors, whose sum is σ = 47471860800. Its totient is φ = 3180072960.

The previous prime is 12590743673. The next prime is 12590743691. The reversal of 12590743680 is 8634709521.

12590743680 is a `hidden beast` number, since 12 + 590 + 7 + 43 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2952750 + ... + 2957010.

It is a 1-persistent number, because it is pandigital, but 2⋅12590743680 = 25181487360 is not.

Almost surely, 2^12590743680 is an apocalyptic number.

12590743680 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 12590743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23735930400).

12590743680 is an abundant number, since it is smaller than the sum of its proper divisors (34881117120).

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

12590743680 is an equidigital number, since it uses as much as digits as its factorization.

12590743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12590743680 in words is "twelve billion, five hundred ninety million, seven hundred forty-three thousand, six hundred eighty".