5352425133216 has 288 divisors, whose sum is σ = 17902171506240. Its totient is φ = 1389675700224.

The previous prime is 5352425133193. The next prime is 5352425133217. The reversal of 5352425133216 is 6123315242535.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5352425133217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1165071 + ... + 3473073.

It is an arithmetic number, because the mean of its divisors is an integer number (62160317730).

Almost surely, 2^{5352425133216} is an apocalyptic number.

5352425133216 is a gapful number since it is divisible by the number (56) 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 5352425133216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951085753120).

5352425133216 is an abundant number, since it is smaller than the sum of its proper divisors (12549746373024).

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

5352425133216 is a wasteful number, since it uses less digits than its factorization.

5352425133216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308076 (or 2308061 counting only the distinct ones).

The product of its digits is 648000, while the sum is 42.

The spelling of 5352425133216 in words is "five trillion, three hundred fifty-two billion, four hundred twenty-five million, one hundred thirty-three thousand, two hundred sixteen".