1352555034200 has 96 divisors (see below), whose sum is σ = 3187034112000. Its totient is φ = 533748009600.

The previous prime is 1352555034163. The next prime is 1352555034203. The reversal of 1352555034200 is 24305552531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352555034203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20174735 + ... + 20241665.

It is an arithmetic number, because the mean of its divisors is an integer number (33198272000).

Almost surely, 2^{1352555034200} is an apocalyptic number.

1352555034200 is a gapful number since it is divisible by the number (10) 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 1352555034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593517056000).

1352555034200 is an abundant number, since it is smaller than the sum of its proper divisors (1834479077800).

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

1352555034200 is a wasteful number, since it uses less digits than its factorization.

1352555034200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68305 (or 68296 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

The spelling of 1352555034200 in words is "one trillion, three hundred fifty-two billion, five hundred fifty-five million, thirty-four thousand, two hundred".