1359243970560 has 1920 divisors, whose sum is σ = 6041455580160. Its totient is φ = 285210574848.

The previous prime is 1359243970559. The next prime is 1359243970603. The reversal of 1359243970560 is 650793429531.

1359243970560 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 2 + 4 + 3 + 9 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1359243970497 and 1359243970506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4639057774 + ... + 4639058066.

It is an arithmetic number, because the mean of its divisors is an integer number (3146591448).

Almost surely, 2^{1359243970560} is an apocalyptic number.

1359243970560 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 1359243970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020727790080).

1359243970560 is an abundant number, since it is smaller than the sum of its proper divisors (4682211609600).

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

1359243970560 is a wasteful number, since it uses less digits than its factorization.

1359243970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 1359243970560 in words is "one trillion, three hundred fifty-nine billion, two hundred forty-three million, nine hundred seventy thousand, five hundred sixty".