5959208586240 has 4224 divisors, whose sum is σ = 28603343462400. Its totient is φ = 1163817123840.

The previous prime is 5959208586239. The next prime is 5959208586251. The reversal of 5959208586240 is 426858029595.

5959208586240 is a `hidden beast` number, since 5 + 9 + 5 + 9 + 2 + 0 + 8 + 586 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 101003535331 + ... + 101003535389.

Almost surely, 2^{5959208586240} 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 5959208586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14301671731200).

5959208586240 is an abundant number, since it is smaller than the sum of its proper divisors (22644134876160).

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

5959208586240 is a wasteful number, since it uses less digits than its factorization.

5959208586240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 5959208586240 in words is "five trillion, nine hundred fifty-nine billion, two hundred eight million, five hundred eighty-six thousand, two hundred forty".