5352295952016 has 320 divisors, whose sum is σ = 16702818451200. Its totient is φ = 1631208996864.

The previous prime is 5352295951957. The next prime is 5352295952023. The reversal of 5352295952016 is 6102595922535.

It is a happy number.

5352295952016 is a `hidden beast` number, since 5 + 3 + 5 + 2 + 29 + 595 + 20 + 1 + 6 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258342490 + ... + 258363206.

It is an arithmetic number, because the mean of its divisors is an integer number (52196307660).

Almost surely, 2^{5352295952016} 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 5352295952016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8351409225600).

5352295952016 is an abundant number, since it is smaller than the sum of its proper divisors (11350522499184).

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

5352295952016 is a wasteful number, since it uses less digits than its factorization.

5352295952016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21183 (or 21171 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 5352295952016 in words is "five trillion, three hundred fifty-two billion, two hundred ninety-five million, nine hundred fifty-two thousand, sixteen".