5352181764480 has 1024 divisors, whose sum is σ = 20794964889600. Its totient is φ = 1311802490880.

The previous prime is 5352181764407. The next prime is 5352181764481. The reversal of 5352181764480 is 844671812535.

It is a happy number.

5352181764480 is a `hidden beast` number, since 5 + 3 + 5 + 21 + 8 + 176 + 448 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5352181764481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1023163465 + ... + 1023168695.

It is an arithmetic number, because the mean of its divisors is an integer number (20307582900).

Almost surely, 2^{5352181764480} 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 5352181764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10397482444800).

5352181764480 is an abundant number, since it is smaller than the sum of its proper divisors (15442783125120).

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

5352181764480 is an equidigital number, since it uses as much as digits as its factorization.

5352181764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5331 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 5352181764480 in words is "five trillion, three hundred fifty-two billion, one hundred eighty-one million, seven hundred sixty-four thousand, four hundred eighty".