1359375360 has 352 divisors, whose sum is σ = 5093591040. Its totient is φ = 302972928.

The previous prime is 1359375299. The next prime is 1359375419. The reversal of 1359375360 is 635739531.

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 31 ways as a sum of consecutive naturals, for example, 5053306 + ... + 5053574.

Almost surely, 2^1359375360 is an apocalyptic number.

1359375360 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 1359375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546795520).

1359375360 is an abundant number, since it is smaller than the sum of its proper divisors (3734215680).

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

1359375360 is a wasteful number, since it uses less digits than its factorization.

1359375360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 42.

The square root of 1359375360 is about 36869.7078914385. The cubic root of 1359375360 is about 1107.7620032120.

The spelling of 1359375360 in words is "one billion, three hundred fifty-nine million, three hundred seventy-five thousand, three hundred sixty".