5972881826704 has 135 divisors (see below), whose sum is σ = 12841070923827. Its totient is φ = 2690141545728.

The previous prime is 5972881826677. The next prime is 5972881826713. The reversal of 5972881826704 is 4076281882795.

The square root of 5972881826704 is 2443948.

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

It can be written as a sum of positive squares in 4 ways, for example, as 436461065104 + 5536420761600 = 660652^2 + 2352960^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5972881826704.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5464667182 + ... + 5464668274.

Almost surely, 2^{5972881826704} is an apocalyptic number.

5972881826704 is the 2443948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5972881826704

5972881826704 is an abundant number, since it is smaller than the sum of its proper divisors (6868189097123).

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

5972881826704 is an equidigital number, since it uses as much as digits as its factorization.

5972881826704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 67.

The spelling of 5972881826704 in words is "five trillion, nine hundred seventy-two billion, eight hundred eighty-one million, eight hundred twenty-six thousand, seven hundred four".