13505607360 has 1344 divisors, whose sum is σ = 61711027200. Its totient is φ = 2759049216.

The previous prime is 13505607329. The next prime is 13505607361. The reversal of 13505607360 is 6370650531.

It is a happy number.

13505607360 is a `hidden beast` number, since 1 + 35 + 0 + 560 + 7 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505607361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 185008284 + ... + 185008356.

Almost surely, 2^13505607360 is an apocalyptic number.

13505607360 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 13505607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30855513600).

13505607360 is an abundant number, since it is smaller than the sum of its proper divisors (48205419840).

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

13505607360 is a wasteful number, since it uses less digits than its factorization.

13505607360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 13505607360 in words is "thirteen billion, five hundred five million, six hundred seven thousand, three hundred sixty".