5576952055200 has 288 divisors, whose sum is σ = 18755976540672. Its totient is φ = 1437875712000.

The previous prime is 5576952055193. The next prime is 5576952055229. The reversal of 5576952055200 is 25502596755.

It is a super-2 number, since 2×5576952055200² (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 81284910 + ... + 81353490.

It is an arithmetic number, because the mean of its divisors is an integer number (65124918544).

Almost surely, 2^{5576952055200} is an apocalyptic number.

5576952055200 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 5576952055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9377988270336).

5576952055200 is an abundant number, since it is smaller than the sum of its proper divisors (13179024485472).

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

5576952055200 is a wasteful number, since it uses less digits than its factorization.

5576952055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69728 (or 69715 counting only the distinct ones).

The product of its (nonzero) digits is 4725000, while the sum is 51.

The spelling of 5576952055200 in words is "five trillion, five hundred seventy-six billion, nine hundred fifty-two million, fifty-five thousand, two hundred".