5956091276800 has 480 divisors, whose sum is σ = 18221477947200. Its totient is φ = 1921941504000.

The previous prime is 5956091276719. The next prime is 5956091276873. The reversal of 5956091276800 is 86721906595.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74596900 + ... + 74676700.

It is an arithmetic number, because the mean of its divisors is an integer number (37961412390).

Almost surely, 2^{5956091276800} is an apocalyptic number.

5956091276800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5956091276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9110738973600).

5956091276800 is an abundant number, since it is smaller than the sum of its proper divisors (12265386670400).

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

5956091276800 is an equidigital number, since it uses as much as digits as its factorization.

5956091276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79867 (or 79832 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 58.

The spelling of 5956091276800 in words is "five trillion, nine hundred fifty-six billion, ninety-one million, two hundred seventy-six thousand, eight hundred".