5956949980800 has 4608 divisors, whose sum is σ = 30230865100800. Its totient is φ = 1079731814400.

The previous prime is 5956949980753. The next prime is 5956949980829. The reversal of 5956949980800 is 80899496595.

5956949980800 is a `hidden beast` number, since 5 + 9 + 56 + 9 + 499 + 8 + 0 + 80 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 26242070287 + ... + 26242070513.

It is an arithmetic number, because the mean of its divisors is an integer number (6560517600).

Almost surely, 2^{5956949980800} is an apocalyptic number.

5956949980800 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 5956949980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15115432550400).

5956949980800 is an abundant number, since it is smaller than the sum of its proper divisors (24273915120000).

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

5956949980800 is a wasteful number, since it uses less digits than its factorization.

5956949980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 72.

The spelling of 5956949980800 in words is "five trillion, nine hundred fifty-six billion, nine hundred forty-nine million, nine hundred eighty thousand, eight hundred".