5709375724900 has 27 divisors (see below), whose sum is σ = 12389397173881. Its totient is φ = 2283740732240.

The previous prime is 5709375724883. The next prime is 5709375724967. The reversal of 5709375724900 is 94275739075.

The square root of 5709375724900 is 2389430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2055375260964 + 3654000463936 = 1433658^2 + 1911544^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23774829 + ... + 24013771.

Almost surely, 2^{5709375724900} is an apocalyptic number.

5709375724900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5709375724900 is the 2389430-th square number.

It is an amenable number.

5709375724900 is an abundant number, since it is smaller than the sum of its proper divisors (6680021448981).

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

5709375724900 is an frugal number, since it uses more digits than its factorization.

5709375724900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477900 (or 238950 counting only the distinct ones).

The product of its (nonzero) digits is 16669800, while the sum is 58.

The spelling of 5709375724900 in words is "five trillion, seven hundred nine billion, three hundred seventy-five million, seven hundred twenty-four thousand, nine hundred".