12871345979520 has 1920 divisors, whose sum is σ = 57822467472000. Its totient is φ = 2665241542656.

The previous prime is 12871345979483. The next prime is 12871345979521. The reversal of 12871345979520 is 2597954317821.

It is a happy number.

12871345979520 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 1 + 34 + 5 + 9 + 79 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (12871345979521) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3647305116 + ... + 3647308644.

It is an arithmetic number, because the mean of its divisors is an integer number (30115868475).

Almost surely, 2^{12871345979520} is an apocalyptic number.

12871345979520 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 12871345979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28911233736000).

12871345979520 is an abundant number, since it is smaller than the sum of its proper divisors (44951121492480).

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

12871345979520 is a wasteful number, since it uses less digits than its factorization.

12871345979520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 12871345979520 in words is "twelve trillion, eight hundred seventy-one billion, three hundred forty-five million, nine hundred seventy-nine thousand, five hundred twenty".