12813506778240 has 512 divisors, whose sum is σ = 51993728064000. Its totient is φ = 2921486745600.

The previous prime is 12813506778239. The next prime is 12813506778253. The reversal of 12813506778240 is 4287760531821.

12813506778240 is a `hidden beast` number, since 1 + 2 + 8 + 13 + 506 + 7 + 7 + 82 + 40 = 666.

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 63 ways as a sum of consecutive naturals, for example, 48372876 + ... + 48637044.

It is an arithmetic number, because the mean of its divisors is an integer number (101550250125).

Almost surely, 2^{12813506778240} is an apocalyptic number.

12813506778240 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 12813506778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25996864032000).

12813506778240 is an abundant number, since it is smaller than the sum of its proper divisors (39180221285760).

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

12813506778240 is a wasteful number, since it uses less digits than its factorization.

12813506778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264605 (or 264587 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 12813506778240 in words is "twelve trillion, eight hundred thirteen billion, five hundred six million, seven hundred seventy-eight thousand, two hundred forty".