13217487360 has 960 divisors, whose sum is σ = 55888994304. Its totient is φ = 2632089600.

The previous prime is 13217487359. The next prime is 13217487421. The reversal of 13217487360 is 6378471231.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×13217487360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128325069 + ... + 128325171.

Almost surely, 2^13217487360 is an apocalyptic number.

13217487360 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 13217487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27944497152).

13217487360 is an abundant number, since it is smaller than the sum of its proper divisors (42671506944).

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

13217487360 is a wasteful number, since it uses less digits than its factorization.

13217487360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 13217487360 in words is "thirteen billion, two hundred seventeen million, four hundred eighty-seven thousand, three hundred sixty".