2553555113200 has 240 divisors, whose sum is σ = 7554662095680. Its totient is φ = 807730421760.

The previous prime is 2553555113177. The next prime is 2553555113251. The reversal of 2553555113200 is 23115553552.

It is a super-2 number, since 2×2553555113200² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2553555113200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72673236 + ... + 72708364.

It is an arithmetic number, because the mean of its divisors is an integer number (31477758732).

Almost surely, 2^{2553555113200} is an apocalyptic number.

2553555113200 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 2553555113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777331047840).

2553555113200 is an abundant number, since it is smaller than the sum of its proper divisors (5001106982480).

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

2553555113200 is a wasteful number, since it uses less digits than its factorization.

2553555113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37164 (or 37153 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 37.

The spelling of 2553555113200 in words is "two trillion, five hundred fifty-three billion, five hundred fifty-five million, one hundred thirteen thousand, two hundred".