12883534790880 has 768 divisors, whose sum is σ = 48171773067264. Its totient is φ = 2867282288640.

The previous prime is 12883534790831. The next prime is 12883534790969. The reversal of 12883534790880 is 8809743538821.

12883534790880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 191278489 + ... + 191345831.

It is an arithmetic number, because the mean of its divisors is an integer number (62723662848).

Almost surely, 2^{12883534790880} is an apocalyptic number.

12883534790880 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 12883534790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24085886533632).

12883534790880 is an abundant number, since it is smaller than the sum of its proper divisors (35288238276384).

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

12883534790880 is a wasteful number, since it uses less digits than its factorization.

12883534790880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67471 (or 67463 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 12883534790880 in words is "twelve trillion, eight hundred eighty-three billion, five hundred thirty-four million, seven hundred ninety thousand, eight hundred eighty".