5205992299200 has 4032 divisors, whose sum is σ = 25314196930560. Its totient is φ = 1028256768000.

The previous prime is 5205992299199. The next prime is 5205992299231. The reversal of 5205992299200 is 29922995025.

5205992299200 is a `hidden beast` number, since 5 + 2 + 0 + 599 + 2 + 29 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 73323835165 + ... + 73323835235.

Almost surely, 2^{5205992299200} is an apocalyptic number.

5205992299200 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 5205992299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12657098465280).

5205992299200 is an abundant number, since it is smaller than the sum of its proper divisors (20108204631360).

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

5205992299200 is a wasteful number, since it uses less digits than its factorization.

5205992299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 5205992299200 in words is "five trillion, two hundred five billion, nine hundred ninety-two million, two hundred ninety-nine thousand, two hundred".