12864494520 has 320 divisors, whose sum is σ = 44339724000. Its totient is φ = 3344274432.

The previous prime is 12864494509. The next prime is 12864494551. The reversal of 12864494520 is 2549446821.

It is a happy number.

12864494520 is a `hidden beast` number, since 1 + 2 + 86 + 4 + 49 + 4 + 520 = 666.

It is a super-2 number, since 2×12864494520² (a number of 21 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 33070486 + ... + 33070874.

Almost surely, 2^12864494520 is an apocalyptic number.

12864494520 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 12864494520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22169862000).

12864494520 is an abundant number, since it is smaller than the sum of its proper divisors (31475229480).

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

12864494520 is a wasteful number, since it uses less digits than its factorization.

12864494520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 12864494520 in words is "twelve billion, eight hundred sixty-four million, four hundred ninety-four thousand, five hundred twenty".