2553134253200 has 120 divisors (see below), whose sum is σ = 6267667647168. Its totient is φ = 999094320640.

The previous prime is 2553134253179. The next prime is 2553134253203. The reversal of 2553134253200 is 23524313552.

It is not an unprimeable number, because it can be changed into a prime (2553134253203) 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, 7182869 + ... + 7529931.

Almost surely, 2^{2553134253200} is an apocalyptic number.

2553134253200 is a gapful number since it is divisible by the number (20) 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 2553134253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133833823584).

2553134253200 is an abundant number, since it is smaller than the sum of its proper divisors (3714533393968).

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

2553134253200 is a wasteful number, since it uses less digits than its factorization.

2553134253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347481 (or 347470 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 2553134253200 its reverse (23524313552), we get a palindrome (2576658566752).

The spelling of 2553134253200 in words is "two trillion, five hundred fifty-three billion, one hundred thirty-four million, two hundred fifty-three thousand, two hundred".