5164224024960 has 3072 divisors, whose sum is σ = 25374166272000. Its totient is φ = 989077340160.

The previous prime is 5164224024943. The next prime is 5164224024979. The reversal of 5164224024960 is 694204224615.

It is a happy number.

5164224024960 is a `hidden beast` number, since 5 + 164 + 2 + 240 + 249 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7628100142 + ... + 7628100818.

It is an arithmetic number, because the mean of its divisors is an integer number (8259819750).

Almost surely, 2^{5164224024960} 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 5164224024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12687083136000).

5164224024960 is an abundant number, since it is smaller than the sum of its proper divisors (20209942247040).

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

5164224024960 is a wasteful number, since it uses less digits than its factorization.

5164224024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 5164224024960 in words is "five trillion, one hundred sixty-four billion, two hundred twenty-four million, twenty-four thousand, nine hundred sixty".