5806452748800 has 720 divisors, whose sum is σ = 21272030065440. Its totient is φ = 1395041894400.

The previous prime is 5806452748793. The next prime is 5806452748819. The reversal of 5806452748800 is 88472546085.

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, 525037671 + ... + 525048729.

It is an arithmetic number, because the mean of its divisors is an integer number (29544486202).

Almost surely, 2^{5806452748800} is an apocalyptic number.

5806452748800 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 5806452748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10636015032720).

5806452748800 is an abundant number, since it is smaller than the sum of its proper divisors (15465577316640).

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

5806452748800 is a wasteful number, since it uses less digits than its factorization.

5806452748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11225 (or 11193 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 57.

The spelling of 5806452748800 in words is "five trillion, eight hundred six billion, four hundred fifty-two million, seven hundred forty-eight thousand, eight hundred".