5880819001600 has 81 divisors (see below), whose sum is σ = 14556426111003. Its totient is φ = 2352249999360.

The previous prime is 5880819001579. The next prime is 5880819001633. The reversal of 5880819001600 is 61009180885.

The square root of 5880819001600 is 2425040.

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 625061009664 + 5255757991936 = 790608^2 + 2292544^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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, 193988044 + ... + 194018356.

Almost surely, 2^{5880819001600} is an apocalyptic number.

5880819001600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5880819001600 is the 2425040-th square number.

It is an amenable number.

5880819001600 is an abundant number, since it is smaller than the sum of its proper divisors (8675607109403).

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

5880819001600 is an frugal number, since it uses more digits than its factorization.

5880819001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60652 (or 30320 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 46.

The spelling of 5880819001600 in words is "five trillion, eight hundred eighty billion, eight hundred nineteen million, one thousand, six hundred".