5005491448320 has 720 divisors, whose sum is σ = 19760664924000. Its totient is φ = 1213434224640.

The previous prime is 5005491448301. The next prime is 5005491448409. The reversal of 5005491448320 is 238441945005.

5005491448320 is a `hidden beast` number, since 5 + 0 + 0 + 549 + 1 + 4 + 4 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×5005491448320³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75238431 + ... + 75304929.

It is an arithmetic number, because the mean of its divisors is an integer number (27445367950).

Almost surely, 2^{5005491448320} 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 5005491448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9880332462000).

5005491448320 is an abundant number, since it is smaller than the sum of its proper divisors (14755173475680).

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

5005491448320 is an equidigital number, since it uses as much as digits as its factorization.

5005491448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66559 (or 66520 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5005491448320 in words is "five trillion, five billion, four hundred ninety-one million, four hundred forty-eight thousand, three hundred twenty".