12897642240 has 864 divisors, whose sum is σ = 53997705216. Its totient is φ = 2781020160.

The previous prime is 12897642239. The next prime is 12897642253. The reversal of 12897642240 is 4224679821.

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 95 ways as a sum of consecutive naturals, for example, 155393239 + ... + 155393321.

It is an arithmetic number, because the mean of its divisors is an integer number (62497344).

Almost surely, 2^12897642240 is an apocalyptic number.

12897642240 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 12897642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998852608).

12897642240 is an abundant number, since it is smaller than the sum of its proper divisors (41100062976).

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

12897642240 is a wasteful number, since it uses less digits than its factorization.

12897642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12897642240 in words is "twelve billion, eight hundred ninety-seven million, six hundred forty-two thousand, two hundred forty".