12860466877440 has 4224 divisors, whose sum is σ = 61527561338880. Its totient is φ = 2407897497600.

The previous prime is 12860466877403. The next prime is 12860466877441. The reversal of 12860466877440 is 4477866406821.

12860466877440 is a `hidden beast` number, since 1 + 2 + 8 + 60 + 4 + 6 + 68 + 77 + 440 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12860466877441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 101263518657 + ... + 101263518783.

Almost surely, 2^{12860466877440} is an apocalyptic number.

12860466877440 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 12860466877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30763780669440).

12860466877440 is an abundant number, since it is smaller than the sum of its proper divisors (48667094461440).

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

12860466877440 is a wasteful number, since it uses less digits than its factorization.

12860466877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 12860466877440 in words is "twelve trillion, eight hundred sixty billion, four hundred sixty-six million, eight hundred seventy-seven thousand, four hundred forty".