5776106833200 has 240 divisors, whose sum is σ = 21247230268800. Its totient is φ = 1326569932800.

The previous prime is 5776106833171. The next prime is 5776106833201. The reversal of 5776106833200 is 23386016775.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5776106833200.

It is not an unprimeable number, because it can be changed into a prime (5776106833201) by changing a digit.

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, 11264565 + ... + 11766164.

It is an arithmetic number, because the mean of its divisors is an integer number (88530126120).

Almost surely, 2^{5776106833200} is an apocalyptic number.

5776106833200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5776106833200 is an abundant number, since it is smaller than the sum of its proper divisors (15471123435600).

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

5776106833200 is a wasteful number, since it uses less digits than its factorization.

5776106833200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23030780 (or 23030769 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 5776106833200 in words is "five trillion, seven hundred seventy-six billion, one hundred six million, eight hundred thirty-three thousand, two hundred".