5710345128000 has 560 divisors, whose sum is σ = 21142564014000. Its totient is φ = 1521508147200.

The previous prime is 5710345127969. The next prime is 5710345128029. The reversal of 5710345128000 is 8215430175.

5710345128000 is a `hidden beast` number, since 57 + 10 + 3 + 4 + 512 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 871788220416 + 4838556907584 = 933696^2 + 2199672^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1003749156 + ... + 1003754844.

Almost surely, 2^{5710345128000} is an apocalyptic number.

5710345128000 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 5710345128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10571282007000).

5710345128000 is an abundant number, since it is smaller than the sum of its proper divisors (15432218886000).

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

5710345128000 is a wasteful number, since it uses less digits than its factorization.

5710345128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7277 (or 7248 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 5710345128000 in words is "five trillion, seven hundred ten billion, three hundred forty-five million, one hundred twenty-eight thousand".