12878293680 has 300 divisors, whose sum is σ = 52032071520. Its totient is φ = 2943537408.

The previous prime is 12878293661. The next prime is 12878293691. The reversal of 12878293680 is 8639287821.

It is a happy number.

It is a super-3 number, since 3×12878293680³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 297241 + ... + 337799.

Almost surely, 2^12878293680 is an apocalyptic number.

12878293680 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 12878293680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26016035760).

12878293680 is an abundant number, since it is smaller than the sum of its proper divisors (39153777840).

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

12878293680 is a wasteful number, since it uses less digits than its factorization.

12878293680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40598 (or 40576 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 12878293680 in words is "twelve billion, eight hundred seventy-eight million, two hundred ninety-three thousand, six hundred eighty".