12753017280 has 336 divisors, whose sum is σ = 44719646400. Its totient is φ = 3335356416.

The previous prime is 12753017273. The next prime is 12753017309. The reversal of 12753017280 is 8271035721.

12753017280 is a `hidden beast` number, since 1 + 2 + 75 + 301 + 7 + 280 = 666.

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

It is a congruent number.

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, 48490429 + ... + 48490691.

Almost surely, 2^12753017280 is an apocalyptic number.

12753017280 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 12753017280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22359823200).

12753017280 is an abundant number, since it is smaller than the sum of its proper divisors (31966629120).

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

12753017280 is a wasteful number, since it uses less digits than its factorization.

12753017280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 12753017280 in words is "twelve billion, seven hundred fifty-three million, seventeen thousand, two hundred eighty".