5968188581040 has 480 divisors, whose sum is σ = 24469497423360. Its totient is φ = 1332431783424.

The previous prime is 5968188581023. The next prime is 5968188581161. The reversal of 5968188581040 is 401858818695.

5968188581040 is a `hidden beast` number, since 5 + 9 + 6 + 8 + 1 + 8 + 8 + 581 + 0 + 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 95 ways as a sum of consecutive naturals, for example, 3895437 + ... + 5206803.

It is an arithmetic number, because the mean of its divisors is an integer number (50978119632).

Almost surely, 2^{5968188581040} 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 5968188581040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12234748711680).

5968188581040 is an abundant number, since it is smaller than the sum of its proper divisors (18501308842320).

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

5968188581040 is a wasteful number, since it uses less digits than its factorization.

5968188581040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311446 (or 1311427 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 63.

The spelling of 5968188581040 in words is "five trillion, nine hundred sixty-eight billion, one hundred eighty-eight million, five hundred eighty-one thousand, forty".