12872431595520 has 1664 divisors, whose sum is σ = 56437284833280. Its totient is φ = 2716210298880.

The previous prime is 12872431595509. The next prime is 12872431595531. The reversal of 12872431595520 is 2559513427821.

12872431595520 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 2 + 4 + 31 + 59 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12872431595509) and next prime (12872431595531).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3487516875 + ... + 3487520565.

It is an arithmetic number, because the mean of its divisors is an integer number (33916637520).

Almost surely, 2^{12872431595520} is an apocalyptic number.

12872431595520 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 12872431595520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28218642416640).

12872431595520 is an abundant number, since it is smaller than the sum of its proper divisors (43564853237760).

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

12872431595520 is a wasteful number, since it uses less digits than its factorization.

12872431595520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 12872431595520 in words is "twelve trillion, eight hundred seventy-two billion, four hundred thirty-one million, five hundred ninety-five thousand, five hundred twenty".