12884603906790 has 768 divisors, whose sum is σ = 45915702902784. Its totient is φ = 2424331468800.

The previous prime is 12884603906761. The next prime is 12884603906809. The reversal of 12884603906790 is 9760930648821.

12884603906790 is a `hidden beast` number, since 1 + 2 + 88 + 460 + 3 + 9 + 0 + 6 + 7 + 90 = 666.

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

It is a congruent number.

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, 631804834 + ... + 631825226.

It is an arithmetic number, because the mean of its divisors is an integer number (59786071488).

Almost surely, 2^{12884603906790} is an apocalyptic number.

12884603906790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12884603906790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22957851451392).

12884603906790 is an abundant number, since it is smaller than the sum of its proper divisors (33031098995994).

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

12884603906790 is a wasteful number, since it uses less digits than its factorization.

12884603906790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20645 (or 20642 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 12884603906790 in words is "twelve trillion, eight hundred eighty-four billion, six hundred three million, nine hundred six thousand, seven hundred ninety".