5873821286400 has 1440 divisors, whose sum is σ = 23275470933000. Its totient is φ = 1409286144000.

The previous prime is 5873821286357. The next prime is 5873821286453. The reversal of 5873821286400 is 46821283785.

5873821286400 is a `hidden beast` number, since 5 + 8 + 73 + 82 + 12 + 86 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2459426881536 + 3414394404864 = 1568256^2 + 1847808^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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 71 ways as a sum of consecutive naturals, for example, 58156646350 + ... + 58156646450.

Almost surely, 2^{5873821286400} is an apocalyptic number.

5873821286400 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 5873821286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11637735466500).

5873821286400 is an abundant number, since it is smaller than the sum of its proper divisors (17401649646600).

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

5873821286400 is a wasteful number, since it uses less digits than its factorization.

5873821286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 5873821286400 in words is "five trillion, eight hundred seventy-three billion, eight hundred twenty-one million, two hundred eighty-six thousand, four hundred".