5664225154200 has 192 divisors, whose sum is σ = 17830037554560. Its totient is φ = 1487224120320.

The previous prime is 5664225154193. The next prime is 5664225154249. The reversal of 5664225154200 is 24515224665.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25600447 + ... + 25820753.

It is an arithmetic number, because the mean of its divisors is an integer number (92864778930).

Almost surely, 2^{5664225154200} is an apocalyptic number.

5664225154200 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 5664225154200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915018777280).

5664225154200 is an abundant number, since it is smaller than the sum of its proper divisors (12165812400360).

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

5664225154200 is a wasteful number, since it uses less digits than its factorization.

5664225154200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220986 (or 220977 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 5664225154200 in words is "five trillion, six hundred sixty-four billion, two hundred twenty-five million, one hundred fifty-four thousand, two hundred".