5750476960800 has 1152 divisors, whose sum is σ = 23086762352640. Its totient is φ = 1224069120000.

The previous prime is 5750476960763. The next prime is 5750476960807. The reversal of 5750476960800 is 80696740575.

It is not an unprimeable number, because it can be changed into a prime (5750476960807) 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 191 ways as a sum of consecutive naturals, for example, 627708220 + ... + 627717380.

It is an arithmetic number, because the mean of its divisors is an integer number (20040592320).

Almost surely, 2^{5750476960800} is an apocalyptic number.

5750476960800 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 5750476960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11543381176320).

5750476960800 is an abundant number, since it is smaller than the sum of its proper divisors (17336285391840).

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

5750476960800 is a wasteful number, since it uses less digits than its factorization.

5750476960800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9298 (or 9285 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 5750476960800 in words is "five trillion, seven hundred fifty billion, four hundred seventy-six million, nine hundred sixty thousand, eight hundred".