5956992061440 has 1872 divisors, whose sum is σ = 24033998125440. Its totient is φ = 1254319718400.

The previous prime is 5956992061417. The next prime is 5956992061453. The reversal of 5956992061440 is 441602996595.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83901296605 + ... + 83901296675.

Almost surely, 2^{5956992061440} 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 5956992061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12016999062720).

5956992061440 is an abundant number, since it is smaller than the sum of its proper divisors (18077006064000).

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

5956992061440 is a wasteful number, since it uses less digits than its factorization.

5956992061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 60.

The spelling of 5956992061440 in words is "five trillion, nine hundred fifty-six billion, nine hundred ninety-two million, sixty-one thousand, four hundred forty".