12785845248000 has 1792 divisors, whose sum is σ = 54630033569280. Its totient is φ = 2916089856000.

The previous prime is 12785845247971. The next prime is 12785845248019. The reversal of 12785845248000 is 84254858721.

12785845248000 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 584 + 52 + 4 + 8 + 0 + 0 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 5170174764 + ... + 5170177236.

Almost surely, 2^{12785845248000} is an apocalyptic number.

12785845248000 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 12785845248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27315016784640).

12785845248000 is an abundant number, since it is smaller than the sum of its proper divisors (41844188321280).

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

12785845248000 is a wasteful number, since it uses less digits than its factorization.

12785845248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 12785845248000 in words is "twelve trillion, seven hundred eighty-five billion, eight hundred forty-five million, two hundred forty-eight thousand".