5796478920960 has 3024 divisors, whose sum is σ = 26492756572800. Its totient is φ = 1188756062208.

The previous prime is 5796478920929. The next prime is 5796478920979. The reversal of 5796478920960 is 690298746975.

5796478920960 is a `hidden beast` number, since 5 + 7 + 9 + 6 + 478 + 92 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×5796478920960² (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 polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 65128976596 + ... + 65128976684.

It is an arithmetic number, because the mean of its divisors is an integer number (8760832200).

Almost surely, 2^{5796478920960} 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 5796478920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13246378286400).

5796478920960 is an abundant number, since it is smaller than the sum of its proper divisors (20696277651840).

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

5796478920960 is an equidigital number, since it uses as much as digits as its factorization.

5796478920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 5796478920960 in words is "five trillion, seven hundred ninety-six billion, four hundred seventy-eight million, nine hundred twenty thousand, nine hundred sixty".