5905424891664 has 105 divisors (see below), whose sum is σ = 17155555954149. Its totient is φ = 1968387480000.

The previous prime is 5905424891627. The next prime is 5905424891761. The reversal of 5905424891664 is 4661984245095.

The square root of 5905424891664 is 2430108.

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

5905424891664 is a `hidden beast` number, since 5 + 9 + 0 + 542 + 4 + 89 + 1 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5904375131664 + 1049760000 = 2429892^2 + 32400^2 .

It is a super-2 number, since 2×5905424891664² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 262440414 + ... + 262462914.

Almost surely, 2^{5905424891664} is an apocalyptic number.

5905424891664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5905424891664 is the 2430108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5905424891664

5905424891664 is an abundant number, since it is smaller than the sum of its proper divisors (11250131062485).

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

5905424891664 is an frugal number, since it uses more digits than its factorization.

5905424891664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45028 (or 22506 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 5905424891664 in words is "five trillion, nine hundred five billion, four hundred twenty-four million, eight hundred ninety-one thousand, six hundred sixty-four".