1359555120 has 480 divisors, whose sum is σ = 5766059520. Its totient is φ = 278876160.

The previous prime is 1359555107. The next prime is 1359555133. The reversal of 1359555120 is 215559531.

1359555120 is a `hidden beast` number, since 1 + 3 + 595 + 55 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1359555107) and next prime (1359555133).

It is a super-3 number, since 3×1359555120³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7595191 + ... + 7595369.

It is an arithmetic number, because the mean of its divisors is an integer number (12012624).

Almost surely, 2^1359555120 is an apocalyptic number.

1359555120 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 1359555120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883029760).

1359555120 is an abundant number, since it is smaller than the sum of its proper divisors (4406504400).

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

1359555120 is a wasteful number, since it uses less digits than its factorization.

1359555120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The square root of 1359555120 is about 36872.1455844381. The cubic root of 1359555120 is about 1107.8108301774.

The spelling of 1359555120 in words is "one billion, three hundred fifty-nine million, five hundred fifty-five thousand, one hundred twenty".