5964061096224 has 720 divisors, whose sum is σ = 22540901201280. Its totient is φ = 1529469527040.

The previous prime is 5964061096199. The next prime is 5964061096247. The reversal of 5964061096224 is 4226901604695.

5964061096224 is a `hidden beast` number, since 5 + 9 + 6 + 4 + 0 + 6 + 1 + 0 + 9 + 622 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 110342934 + ... + 110396970.

It is an arithmetic number, because the mean of its divisors is an integer number (31306807224).

Almost surely, 2^{5964061096224} is an apocalyptic number.

5964061096224 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 5964061096224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11270450600640).

5964061096224 is an abundant number, since it is smaller than the sum of its proper divisors (16576840105056).

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

5964061096224 is a wasteful number, since it uses less digits than its factorization.

5964061096224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54163 (or 54139 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 5964061096224 in words is "five trillion, nine hundred sixty-four billion, sixty-one million, ninety-six thousand, two hundred twenty-four".