5880722000400 has 405 divisors, whose sum is σ = 22105430935029. Its totient is φ = 1447096734720.

The previous prime is 5880722000381. The next prime is 5880722000423. The reversal of 5880722000400 is 40002270885.

It is a happy number.

The square root of 5880722000400 is 2425020.

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

5880722000400 is a `hidden beast` number, since 588 + 0 + 72 + 2 + 0 + 0 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 5824518867216 + 56203133184 = 2413404^2 + 237072^2 .

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 80 ways as a sum of consecutive naturals, for example, 1891514046 + ... + 1891517154.

Almost surely, 2^{5880722000400} is an apocalyptic number.

5880722000400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5880722000400 is the 2425020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5880722000400

5880722000400 is an abundant number, since it is smaller than the sum of its proper divisors (16224708934629).

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

5880722000400 is a wasteful number, since it uses less digits than its factorization.

5880722000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6268 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Multiplying 5880722000400 by its sum of digits (36), we get a square (211705992014400 = 14550120²).

5880722000400 divided by its sum of digits (36) gives a square (163353388900 = 404170²).

The spelling of 5880722000400 in words is "five trillion, eight hundred eighty billion, seven hundred twenty-two million, four hundred", and thus it is an aban number.