352525401051200 has 168 divisors, whose sum is σ = 934196581524360. Its totient is φ = 130157907148800.

The previous prime is 352525401051181. The next prime is 352525401051211. The reversal of 352525401051200 is 2150104525253.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 230151716245504 + 122373684805696 = 15170752^2 + 11062264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528173690 + ... + 528840710.

It is an arithmetic number, because the mean of its divisors is an integer number (5560693937645).

Almost surely, 2^{352525401051200} 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 352525401051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467098290762180).

352525401051200 is an abundant number, since it is smaller than the sum of its proper divisors (581671180473160).

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

352525401051200 is a wasteful number, since it uses less digits than its factorization.

352525401051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692465 (or 692450 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

Adding to 352525401051200 its reverse (2150104525253), we get a palindrome (354675505576453).

The spelling of 352525401051200 in words is "three hundred fifty-two trillion, five hundred twenty-five billion, four hundred one million, fifty-one thousand, two hundred".