12508289280 has 216 divisors, whose sum is σ = 44770897080. Its totient is φ = 3220439040.

The previous prime is 12508289239. The next prime is 12508289329. The reversal of 12508289280 is 8298280521.

It can be written as a sum of positive squares in 4 ways, for example, as 1478248704 + 11030040576 = 38448^2 + 105024^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315360 + ... + 352800.

Almost surely, 2^12508289280 is an apocalyptic number.

12508289280 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 12508289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22385448540).

12508289280 is an abundant number, since it is smaller than the sum of its proper divisors (32262607800).

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

12508289280 is a wasteful number, since it uses less digits than its factorization.

12508289280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37497 (or 37480 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 12508289280 in words is "twelve billion, five hundred eight million, two hundred eighty-nine thousand, two hundred eighty".