5968657981440 has 5376 divisors, whose sum is σ = 30982271385600. Its totient is φ = 1070176665600.

The previous prime is 5968657981399. The next prime is 5968657981487. The reversal of 5968657981440 is 441897568695.

5968657981440 is a `hidden beast` number, since 5 + 9 + 6 + 8 + 6 + 579 + 8 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

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

It is a congruent number.

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, 192537354225 + ... + 192537354255.

Almost surely, 2^{5968657981440} 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 5968657981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15491135692800).

5968657981440 is an abundant number, since it is smaller than the sum of its proper divisors (25013613404160).

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

5968657981440 is a wasteful number, since it uses less digits than its factorization.

5968657981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 95 counting only the distinct ones).

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

The spelling of 5968657981440 in words is "five trillion, nine hundred sixty-eight billion, six hundred fifty-seven million, nine hundred eighty-one thousand, four hundred forty".