13217860510992 has 160 divisors (see below), whose sum is σ = 38158358184960. Its totient is φ = 4380677406720.

The previous prime is 13217860510927. The next prime is 13217860511047. The reversal of 13217860510992 is 29901506871231.

It is a happy number.

13217860510992 is a `hidden beast` number, since 1 + 3 + 2 + 17 + 8 + 605 + 10 + 9 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59953953 + ... + 60174015.

It is an arithmetic number, because the mean of its divisors is an integer number (238489738656).

Almost surely, 2^{13217860510992} is an apocalyptic number.

13217860510992 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 13217860510992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19079179092480).

13217860510992 is an abundant number, since it is smaller than the sum of its proper divisors (24940497673968).

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

13217860510992 is a wasteful number, since it uses less digits than its factorization.

13217860510992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220878 (or 220866 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 13217860510992 in words is "thirteen trillion, two hundred seventeen billion, eight hundred sixty million, five hundred ten thousand, nine hundred ninety-two".