2553331541200 has 240 divisors, whose sum is σ = 6847213196736. Its totient is φ = 907194470400.

The previous prime is 2553331541179. The next prime is 2553331541207. The reversal of 2553331541200 is 21451333552.

2553331541200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553331541207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34331254 + ... + 34405546.

Almost surely, 2^{2553331541200} is an apocalyptic number.

2553331541200 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 2553331541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423606598368).

2553331541200 is an abundant number, since it is smaller than the sum of its proper divisors (4293881655536).

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

2553331541200 is a wasteful number, since it uses less digits than its factorization.

2553331541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74502 (or 74491 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

Adding to 2553331541200 its reverse (21451333552), we get a palindrome (2574782874752).

The spelling of 2553331541200 in words is "two trillion, five hundred fifty-three billion, three hundred thirty-one million, five hundred forty-one thousand, two hundred".