12789905693760 has 896 divisors, whose sum is σ = 49853219673600. Its totient is φ = 3066725007360.

The previous prime is 12789905693743. The next prime is 12789905693797. The reversal of 12789905693760 is 6739650998721.

12789905693760 is a `hidden beast` number, since 1 + 27 + 8 + 9 + 9 + 0 + 569 + 37 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 3624227676 + ... + 3624231204.

It is an arithmetic number, because the mean of its divisors is an integer number (55639754100).

Almost surely, 2^{12789905693760} is an apocalyptic number.

12789905693760 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 12789905693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24926609836800).

12789905693760 is an abundant number, since it is smaller than the sum of its proper divisors (37063313979840).

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

12789905693760 is a wasteful number, since it uses less digits than its factorization.

12789905693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 12789905693760 in words is "twelve trillion, seven hundred eighty-nine billion, nine hundred five million, six hundred ninety-three thousand, seven hundred sixty".