5959593722880 has 2816 divisors, whose sum is σ = 28184537088000. Its totient is φ = 1160377270272.

The previous prime is 5959593722843. The next prime is 5959593722941. The reversal of 5959593722880 is 882273959595.

5959593722880 is a `hidden beast` number, since 5 + 9 + 5 + 9 + 593 + 7 + 2 + 28 + 8 + 0 = 666.

It is a super-3 number, since 3×5959593722880³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5959593722799 and 5959593722808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7188894306 + ... + 7188895134.

Almost surely, 2^{5959593722880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5959593722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092268544000).

5959593722880 is an abundant number, since it is smaller than the sum of its proper divisors (22224943365120).

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

5959593722880 is a wasteful number, since it uses less digits than its factorization.

5959593722880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 72.

The spelling of 5959593722880 in words is "five trillion, nine hundred fifty-nine billion, five hundred ninety-three million, seven hundred twenty-two thousand, eight hundred eighty".