5643188812800 has 2376 divisors, whose sum is σ = 26108471915136. Its totient is φ = 1131356160000.

The previous prime is 5643188812799. The next prime is 5643188812867. The reversal of 5643188812800 is 82188813465.

5643188812800 is a `hidden beast` number, since 5 + 6 + 431 + 8 + 88 + 128 + 0 + 0 = 666.

It is a super-2 number, since 2×5643188812800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 17048908635 + ... + 17048908965.

Almost surely, 2^{5643188812800} is an apocalyptic number.

5643188812800 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 5643188812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13054235957568).

5643188812800 is an abundant number, since it is smaller than the sum of its proper divisors (20465283102336).

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

5643188812800 is a wasteful number, since it uses less digits than its factorization.

5643188812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 5643188812800 in words is "five trillion, six hundred forty-three billion, one hundred eighty-eight million, eight hundred twelve thousand, eight hundred".