13220399525760 has 1536 divisors, whose sum is σ = 55072526745600. Its totient is φ = 2968241283072.

The previous prime is 13220399525743. The next prime is 13220399525807. The reversal of 13220399525760 is 6752599302231.

13220399525760 is a `hidden beast` number, since 1 + 3 + 2 + 20 + 3 + 99 + 525 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13220399525697 and 13220399525706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29842888099 + ... + 29842888541.

It is an arithmetic number, because the mean of its divisors is an integer number (35854509600).

Almost surely, 2^{13220399525760} is an apocalyptic number.

13220399525760 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 13220399525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27536263372800).

13220399525760 is an abundant number, since it is smaller than the sum of its proper divisors (41852127219840).

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

13220399525760 is an equidigital number, since it uses as much as digits as its factorization.

13220399525760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 13220399525760 in words is "thirteen trillion, two hundred twenty billion, three hundred ninety-nine million, five hundred twenty-five thousand, seven hundred sixty".