5909668429824 has 378 divisors, whose sum is σ = 17748734172260. Its totient is φ = 1967596240896.

The previous prime is 5909668429817. The next prime is 5909668429843. The reversal of 5909668429824 is 4289248669095.

5909668429824 is a `hidden beast` number, since 5 + 90 + 96 + 6 + 8 + 429 + 8 + 24 = 666.

It is a super-2 number, since 2×5909668429824² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 17 ways as a sum of consecutive naturals, for example, 6879706707 + ... + 6879707565.

Almost surely, 2^{5909668429824} is an apocalyptic number.

5909668429824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5909668429824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8874367086130).

5909668429824 is an abundant number, since it is smaller than the sum of its proper divisors (11839065742436).

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

5909668429824 is an frugal number, since it uses more digits than its factorization.

5909668429824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 5909668429824 in words is "five trillion, nine hundred nine billion, six hundred sixty-eight million, four hundred twenty-nine thousand, eight hundred twenty-four".