12863031128640 has 2688 divisors, whose sum is σ = 61828655616000. Its totient is φ = 2514636472320.

The previous prime is 12863031128587. The next prime is 12863031128653. The reversal of 12863031128640 is 4682113036821.

12863031128640 is a `hidden beast` number, since 1 + 2 + 8 + 630 + 3 + 1 + 1 + 2 + 8 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4987602871 + ... + 4987605449.

It is an arithmetic number, because the mean of its divisors is an integer number (23001732000).

Almost surely, 2^{12863031128640} is an apocalyptic number.

12863031128640 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 12863031128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30914327808000).

12863031128640 is an abundant number, since it is smaller than the sum of its proper divisors (48965624487360).

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

12863031128640 is a wasteful number, since it uses less digits than its factorization.

12863031128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12863031128640 in words is "twelve trillion, eight hundred sixty-three billion, thirty-one million, one hundred twenty-eight thousand, six hundred forty".