12590182080 has 448 divisors, whose sum is σ = 51352704000. Its totient is φ = 2844205056.

The previous prime is 12590182063. The next prime is 12590182123. The reversal of 12590182080 is 8028109521.

It is a tau number, because it is divible by the number of its divisors (448).

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

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, 5381551 + ... + 5383889.

Almost surely, 2^12590182080 is an apocalyptic number.

12590182080 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 12590182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25676352000).

12590182080 is an abundant number, since it is smaller than the sum of its proper divisors (38762521920).

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

12590182080 is a wasteful number, since it uses less digits than its factorization.

12590182080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 12590182080 in words is "twelve billion, five hundred ninety million, one hundred eighty-two thousand, eighty".