5864808628224 has 1440 divisors, whose sum is σ = 22497157423104. Its totient is φ = 1429450260480.

The previous prime is 5864808628187. The next prime is 5864808628253. The reversal of 5864808628224 is 4228268084685.

It is a happy number.

5864808628224 is a `hidden beast` number, since 58 + 6 + 480 + 8 + 6 + 2 + 82 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9567387342 + ... + 9567387954.

Almost surely, 2^{5864808628224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5864808628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11248578711552).

5864808628224 is an abundant number, since it is smaller than the sum of its proper divisors (16632348794880).

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

5864808628224 is a wasteful number, since it uses less digits than its factorization.

5864808628224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 63.

The spelling of 5864808628224 in words is "five trillion, eight hundred sixty-four billion, eight hundred eight million, six hundred twenty-eight thousand, two hundred twenty-four".