5989428264960 has 1024 divisors, whose sum is σ = 24545363558400. Its totient is φ = 1357340737536.

The previous prime is 5989428264959. The next prime is 5989428264991. The reversal of 5989428264960 is 694628249895.

5989428264960 is a `hidden beast` number, since 5 + 9 + 8 + 94 + 28 + 26 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-3 number, since 3×5989428264960³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3932650759 + ... + 3932652281.

It is an arithmetic number, because the mean of its divisors is an integer number (23970081600).

Almost surely, 2^{5989428264960} 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 5989428264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12272681779200).

5989428264960 is an abundant number, since it is smaller than the sum of its proper divisors (18555935293440).

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

5989428264960 is a wasteful number, since it uses less digits than its factorization.

5989428264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1667 counting only the distinct ones).

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

The spelling of 5989428264960 in words is "five trillion, nine hundred eighty-nine billion, four hundred twenty-eight million, two hundred sixty-four thousand, nine hundred sixty".