5860853646400 has 189 divisors, whose sum is σ = 14942959275439. Its totient is φ = 2262417525760.

The previous prime is 5860853646383. The next prime is 5860853646421. The reversal of 5860853646400 is 46463580685.

The square root of 5860853646400 is 2420920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 80560604224 + 5780293042176 = 283832^2 + 2404224^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2808266157 + ... + 2808268243.

Almost surely, 2^{5860853646400} is an apocalyptic number.

5860853646400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5860853646400 is the 2420920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5860853646400

5860853646400 is an abundant number, since it is smaller than the sum of its proper divisors (9082105629039).

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

5860853646400 is an frugal number, since it uses more digits than its factorization.

5860853646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 55.

The spelling of 5860853646400 in words is "five trillion, eight hundred sixty billion, eight hundred fifty-three million, six hundred forty-six thousand, four hundred".