5359656338784 has 144 divisors (see below), whose sum is σ = 16660984302144. Its totient is φ = 1620829996800.

The previous prime is 5359656338783. The next prime is 5359656338789. The reversal of 5359656338784 is 4878336569535.

5359656338784 is a `hidden beast` number, since 5 + 3 + 59 + 6 + 563 + 3 + 8 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5359656338784² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5359656338783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167334 + ... + 3278309.

It is an arithmetic number, because the mean of its divisors is an integer number (115701279876).

Almost surely, 2^{5359656338784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5359656338784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8330492151072).

5359656338784 is an abundant number, since it is smaller than the sum of its proper divisors (11301327963360).

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

5359656338784 is a wasteful number, since it uses less digits than its factorization.

5359656338784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446161 (or 3446150 counting only the distinct ones).

The product of its digits is 1959552000, while the sum is 72.

The spelling of 5359656338784 in words is "five trillion, three hundred fifty-nine billion, six hundred fifty-six million, three hundred thirty-eight thousand, seven hundred eighty-four".