5809989593664 has 189 divisors, whose sum is σ = 16916837863107. Its totient is φ = 1906485090048.

The previous prime is 5809989593647. The next prime is 5809989593671. The reversal of 5809989593664 is 4663959899085.

The square root of 5809989593664 is 2410392.

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

5809989593664 is a `hidden beast` number, since 5 + 80 + 9 + 98 + 95 + 9 + 366 + 4 = 666.

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, 3875909587 + ... + 3875911085.

Almost surely, 2^{5809989593664} is an apocalyptic number.

5809989593664 is the 2410392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5809989593664

5809989593664 is an abundant number, since it is smaller than the sum of its proper divisors (11106848269443).

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

5809989593664 is an frugal number, since it uses more digits than its factorization.

5809989593664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 4534963200, while the sum is 81.

Multiplying 5809989593664 by its sum of digits (81), we get a square (470609157086784 = 21693528²).

The spelling of 5809989593664 in words is "five trillion, eight hundred nine billion, nine hundred eighty-nine million, five hundred ninety-three thousand, six hundred sixty-four".