5864903260800 has 192 divisors, whose sum is σ = 19436042724960. Its totient is φ = 1554378854400.

The previous prime is 5864903260787. The next prime is 5864903260813. The reversal of 5864903260800 is 80623094685.

It is an interprime number because it is at equal distance from previous prime (5864903260787) and next prime (5864903260813).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309211 + ... + 3438810.

Almost surely, 2^{5864903260800} is an apocalyptic number.

5864903260800 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 5864903260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9718021362480).

5864903260800 is an abundant number, since it is smaller than the sum of its proper divisors (13571139464160).

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

5864903260800 is a wasteful number, since it uses less digits than its factorization.

5864903260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748211 (or 3748194 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 5864903260800 in words is "five trillion, eight hundred sixty-four billion, nine hundred three million, two hundred sixty thousand, eight hundred".