13164687360 has 624 divisors, whose sum is σ = 51275397888. Its totient is φ = 3096576000.

The previous prime is 13164687343. The next prime is 13164687383. The reversal of 13164687360 is 6378646131.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87183285 + ... + 87183435.

It is an arithmetic number, because the mean of its divisors is an integer number (82172112).

Almost surely, 2^13164687360 is an apocalyptic number.

13164687360 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 13164687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25637698944).

13164687360 is an abundant number, since it is smaller than the sum of its proper divisors (38110710528).

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

13164687360 is a wasteful number, since it uses less digits than its factorization.

13164687360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13164687360 in words is "thirteen billion, one hundred sixty-four million, six hundred eighty-seven thousand, three hundred sixty".