12800565795528 has 384 divisors, whose sum is σ = 43131591659520. Its totient is φ = 3477329222400.

The previous prime is 12800565795527. The next prime is 12800565795533. The reversal of 12800565795528 is 82559756500821.

12800565795528 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 0 + 5 + 6 + 5 + 79 + 552 + 8 = 666.

12800565795528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12800565795527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52145878 + ... + 52390778.

It is an arithmetic number, because the mean of its divisors is an integer number (112321853280).

Almost surely, 2^{12800565795528} is an apocalyptic number.

12800565795528 is a gapful number since it is divisible by the number (18) 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 12800565795528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21565795829760).

12800565795528 is an abundant number, since it is smaller than the sum of its proper divisors (30331025863992).

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

12800565795528 is a wasteful number, since it uses less digits than its factorization.

12800565795528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245119 (or 245103 counting only the distinct ones).

The product of its (nonzero) digits is 60480000, while the sum is 63.

The spelling of 12800565795528 in words is "twelve trillion, eight hundred billion, five hundred sixty-five million, seven hundred ninety-five thousand, five hundred twenty-eight".