3591140866560 has 1920 divisors, whose sum is σ = 14630697861120. Its totient is φ = 833288601600.

The previous prime is 3591140866507. The next prime is 3591140866561. The reversal of 3591140866560 is 656680411953.

3591140866560 is a `hidden beast` number, since 3 + 5 + 9 + 1 + 14 + 0 + 8 + 66 + 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 = 3591140866497 and 3591140866506.

It is not an unprimeable number, because it can be changed into a prime (3591140866561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17019624855 + ... + 17019625065.

It is an arithmetic number, because the mean of its divisors is an integer number (7620155136).

Almost surely, 2^{3591140866560} is an apocalyptic number.

3591140866560 is a gapful number since it is divisible by the number (30) 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 3591140866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315348930560).

3591140866560 is an abundant number, since it is smaller than the sum of its proper divisors (11039556994560).

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

3591140866560 is a wasteful number, since it uses less digits than its factorization.

3591140866560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 3591140866560 in words is "three trillion, five hundred ninety-one billion, one hundred forty million, eight hundred sixty-six thousand, five hundred sixty".