2553342445200 has 120 divisors (see below), whose sum is σ = 8179761167136. Its totient is φ = 680845184000.

The previous prime is 2553342445163. The next prime is 2553342445237. The reversal of 2553342445200 is 25442433552.

It is an interprime number because it is at equal distance from previous prime (2553342445163) and next prime (2553342445237).

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19965460 + ... + 20092940.

Almost surely, 2^{2553342445200} is an apocalyptic number.

2553342445200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553342445200 is an abundant number, since it is smaller than the sum of its proper divisors (5626418721936).

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

2553342445200 is a wasteful number, since it uses less digits than its factorization.

2553342445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144193 (or 144182 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 39.

Adding to 2553342445200 its reverse (25442433552), we get a palindrome (2578784878752).

The spelling of 2553342445200 in words is "two trillion, five hundred fifty-three billion, three hundred forty-two million, four hundred forty-five thousand, two hundred".