52352646016000 has 264 divisors, whose sum is σ = 143561341280448. Its totient is φ = 19037320192000.

The previous prime is 52352646015997. The next prime is 52352646016061. The reversal of 52352646016000 is 61064625325.

It is a happy number.

52352646016000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 23 ways as a sum of consecutive naturals, for example, 13797897 + ... + 17178103.

Almost surely, 2^{52352646016000} is an apocalyptic number.

52352646016000 is a gapful number since it is divisible by the number (50) 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 52352646016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71780670640224).

52352646016000 is an abundant number, since it is smaller than the sum of its proper divisors (91208695264448).

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

52352646016000 is a wasteful number, since it uses less digits than its factorization.

52352646016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380264 (or 3380225 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 52352646016000 in words is "fifty-two trillion, three hundred fifty-two billion, six hundred forty-six million, sixteen thousand".