5605857331200 has 2880 divisors, whose sum is σ = 25887956814720. Its totient is φ = 1169550213120.

The previous prime is 5605857331127. The next prime is 5605857331201. The reversal of 5605857331200 is 21337585065.

5605857331200 is a `hidden beast` number, since 5 + 6 + 0 + 58 + 573 + 3 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5605857331201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18260121447 + ... + 18260121753.

It is an arithmetic number, because the mean of its divisors is an integer number (8988873894).

Almost surely, 2^{5605857331200} is an apocalyptic number.

5605857331200 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 5605857331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12943978407360).

5605857331200 is an abundant number, since it is smaller than the sum of its proper divisors (20282099483520).

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

5605857331200 is a wasteful number, since it uses less digits than its factorization.

5605857331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 5605857331200 in words is "five trillion, six hundred five billion, eight hundred fifty-seven million, three hundred thirty-one thousand, two hundred".