12779769447552 has 512 divisors, whose sum is σ = 37373322240000. Its totient is φ = 3853766246400.

The previous prime is 12779769447551. The next prime is 12779769447559. The reversal of 12779769447552 is 25574496797721.

Its product of digits (1867017600) is a multiple of the sum of its prime divisors (1960).

It is not an unprimeable number, because it can be changed into a prime (12779769447551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8594329753 + ... + 8594331239.

It is an arithmetic number, because the mean of its divisors is an integer number (72994770000).

Almost surely, 2^{12779769447552} is an apocalyptic number.

12779769447552 is a gapful number since it is divisible by the number (12) 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 12779769447552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686661120000).

12779769447552 is an abundant number, since it is smaller than the sum of its proper divisors (24593552792448).

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

12779769447552 is a wasteful number, since it uses less digits than its factorization.

12779769447552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1960 counting only the distinct ones).

The product of its digits is 1867017600, while the sum is 75.

The spelling of 12779769447552 in words is "twelve trillion, seven hundred seventy-nine billion, seven hundred sixty-nine million, four hundred forty-seven thousand, five hundred fifty-two".