12890073024 has 448 divisors, whose sum is σ = 41789299200. Its totient is φ = 3930301440.

The previous prime is 12890073023. The next prime is 12890073029. The reversal of 12890073024 is 42037009821.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12890073024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12890073023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98397439 + ... + 98397569.

Almost surely, 2^12890073024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12890073024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20894649600).

12890073024 is an abundant number, since it is smaller than the sum of its proper divisors (28899226176).

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

12890073024 is an equidigital number, since it uses as much as digits as its factorization.

12890073024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12890073024 in words is "twelve billion, eight hundred ninety million, seventy-three thousand, twenty-four".