13487253360 has 320 divisors, whose sum is σ = 52488069120. Its totient is φ = 2793415680.

The previous prime is 13487253349. The next prime is 13487253419. The reversal of 13487253360 is 6335278431.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 724975 + ... + 743345.

It is an arithmetic number, because the mean of its divisors is an integer number (164025216).

Almost surely, 2^13487253360 is an apocalyptic number.

13487253360 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 13487253360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26244034560).

13487253360 is an abundant number, since it is smaller than the sum of its proper divisors (39000815760).

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

13487253360 is a wasteful number, since it uses less digits than its factorization.

13487253360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18436 (or 18430 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 13487253360 in words is "thirteen billion, four hundred eighty-seven million, two hundred fifty-three thousand, three hundred sixty".