12878842979520 has 336 divisors, whose sum is σ = 50705149255488. Its totient is φ = 2939140177920.

The previous prime is 12878842979441. The next prime is 12878842979521. The reversal of 12878842979520 is 2597924887821.

12878842979520 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 8 + 8 + 4 + 2 + 97 + 9 + 520 = 666.

12878842979520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×12878842979520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (12878842979521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12424252 + ... + 13420868.

It is an arithmetic number, because the mean of its divisors is an integer number (150908182308).

Almost surely, 2^{12878842979520} is an apocalyptic number.

12878842979520 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 12878842979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25352574627744).

12878842979520 is an abundant number, since it is smaller than the sum of its proper divisors (37826306275968).

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

12878842979520 is a wasteful number, since it uses less digits than its factorization.

12878842979520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997288 (or 997275 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 12878842979520 in words is "twelve trillion, eight hundred seventy-eight billion, eight hundred forty-two million, nine hundred seventy-nine thousand, five hundred twenty".