5872967942400 has 648 divisors, whose sum is σ = 23319703380960. Its totient is φ = 1445646458880.

The previous prime is 5872967942327. The next prime is 5872967942431. The reversal of 5872967942400 is 42497692785.

5872967942400 is a `hidden beast` number, since 5 + 8 + 72 + 96 + 79 + 4 + 2 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29102647 + ... + 29303753.

Almost surely, 2^{5872967942400} is an apocalyptic number.

5872967942400 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 5872967942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11659851690480).

5872967942400 is an abundant number, since it is smaller than the sum of its proper divisors (17446735438560).

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

5872967942400 is a wasteful number, since it uses less digits than its factorization.

5872967942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201168 (or 201130 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 5872967942400 in words is "five trillion, eight hundred seventy-two billion, nine hundred sixty-seven million, nine hundred forty-two thousand, four hundred".