5978669875200 has 960 divisors, whose sum is σ = 24165264752640. Its totient is φ = 1449197568000.

The previous prime is 5978669875159. The next prime is 5978669875219. The reversal of 5978669875200 is 25789668795.

5978669875200 is a `hidden beast` number, since 5 + 9 + 7 + 8 + 6 + 6 + 98 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 729903105 + ... + 729911295.

It is an arithmetic number, because the mean of its divisors is an integer number (25172150784).

Almost surely, 2^{5978669875200} is an apocalyptic number.

5978669875200 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 5978669875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12082632376320).

5978669875200 is an abundant number, since it is smaller than the sum of its proper divisors (18186594877440).

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

5978669875200 is an equidigital number, since it uses as much as digits as its factorization.

5978669875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 5978669875200 in words is "five trillion, nine hundred seventy-eight billion, six hundred sixty-nine million, eight hundred seventy-five thousand, two hundred".