1359380880 has 560 divisors, whose sum is σ = 5601266496. Its totient is φ = 302330880.

The previous prime is 1359380873. The next prime is 1359380899. The reversal of 1359380880 is 880839531.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8339679 + ... + 8339841.

Almost surely, 2^1359380880 is an apocalyptic number.

1359380880 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 1359380880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800633248).

1359380880 is an abundant number, since it is smaller than the sum of its proper divisors (4241885616).

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

1359380880 is a wasteful number, since it uses less digits than its factorization.

1359380880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1359380880 is about 36869.7827495634. The cubic root of 1359380880 is about 1107.7635026355.

The spelling of 1359380880 in words is "one billion, three hundred fifty-nine million, three hundred eighty thousand, eight hundred eighty".