12864135316500 has 576 divisors, whose sum is σ = 46045009920000. Its totient is φ = 2997218764800.

The previous prime is 12864135316489. The next prime is 12864135316553. The reversal of 12864135316500 is 561353146821.

12864135316500 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 4 + 135 + 3 + 1 + 6 + 500 = 666.

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 191 ways as a sum of consecutive naturals, for example, 1421603976 + ... + 1421613024.

Almost surely, 2^{12864135316500} is an apocalyptic number.

12864135316500 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 12864135316500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23022504960000).

12864135316500 is an abundant number, since it is smaller than the sum of its proper divisors (33180874603500).

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

12864135316500 is a wasteful number, since it uses less digits than its factorization.

12864135316500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10385 (or 10370 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 12864135316500 in words is "twelve trillion, eight hundred sixty-four billion, one hundred thirty-five million, three hundred sixteen thousand, five hundred".