13210461797760 has 1536 divisors, whose sum is σ = 53186305536000. Its totient is φ = 3117725614080.

The previous prime is 13210461797747. The next prime is 13210461797777. The reversal of 13210461797760 is 6779716401231.

13210461797760 is a `hidden beast` number, since 1 + 3 + 2 + 10 + 4 + 617 + 9 + 7 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×13210461797760² (a number of 27 digits) contains 22 as substring.

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 = 13210461797697 and 13210461797706.

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, 2656434634 + ... + 2656439606.

It is an arithmetic number, because the mean of its divisors is an integer number (34626501000).

Almost surely, 2^{13210461797760} is an apocalyptic number.

13210461797760 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 13210461797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26593152768000).

13210461797760 is an abundant number, since it is smaller than the sum of its proper divisors (39975843738240).

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

13210461797760 is a wasteful number, since it uses less digits than its factorization.

13210461797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 13210461797760 in words is "thirteen trillion, two hundred ten billion, four hundred sixty-one million, seven hundred ninety-seven thousand, seven hundred sixty".