12802573560 has 256 divisors, whose sum is σ = 44714280960. Its totient is φ = 2872074240.

The previous prime is 12802573501. The next prime is 12802573561. The reversal of 12802573560 is 6537520821.

It is a super-2 number, since 2×12802573560² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12802573561) 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, 17230549 + ... + 17231291.

It is an arithmetic number, because the mean of its divisors is an integer number (174665160).

Almost surely, 2^12802573560 is an apocalyptic number.

12802573560 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 12802573560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22357140480).

12802573560 is an abundant number, since it is smaller than the sum of its proper divisors (31911707400).

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

12802573560 is a wasteful number, since it uses less digits than its factorization.

12802573560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 12802573560 in words is "twelve billion, eight hundred two million, five hundred seventy-three thousand, five hundred sixty".