5956006077792 has 240 divisors, whose sum is σ = 17594968783392. Its totient is φ = 1976454881280.

The previous prime is 5956006077773. The next prime is 5956006077811. The reversal of 5956006077792 is 2977706006595.

5956006077792 is a `hidden beast` number, since 5 + 9 + 560 + 0 + 60 + 7 + 7 + 7 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5956006077773) and next prime (5956006077811).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 591984442 + ... + 591994502.

Almost surely, 2^{5956006077792} 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 5956006077792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8797484391696).

5956006077792 is an abundant number, since it is smaller than the sum of its proper divisors (11638962705600).

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

5956006077792 is a wasteful number, since it uses less digits than its factorization.

5956006077792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11083 (or 11066 counting only the distinct ones).

The product of its (nonzero) digits is 50009400, while the sum is 63.

The spelling of 5956006077792 in words is "five trillion, nine hundred fifty-six billion, six million, seventy-seven thousand, seven hundred ninety-two".