5959078836480 has 1728 divisors, whose sum is σ = 26921713029120. Its totient is φ = 1180724428800.

The previous prime is 5959078836479. The next prime is 5959078836481. The reversal of 5959078836480 is 846388709595.

5959078836480 is a `hidden beast` number, since 59 + 5 + 90 + 7 + 8 + 8 + 3 + 6 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (5959078836479) and next prime (5959078836481).

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 = 5959078836399 and 5959078836408.

It is not an unprimeable number, because it can be changed into a prime (5959078836481) 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, 2135103885 + ... + 2135106675.

It is an arithmetic number, because the mean of its divisors is an integer number (15579695040).

Almost surely, 2^{5959078836480} 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 5959078836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13460856514560).

5959078836480 is an abundant number, since it is smaller than the sum of its proper divisors (20962634192640).

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

5959078836480 is a wasteful number, since it uses less digits than its factorization.

5959078836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 5959078836480 in words is "five trillion, nine hundred fifty-nine billion, seventy-eight million, eight hundred thirty-six thousand, four hundred eighty".