2553034075800 has 768 divisors, whose sum is σ = 8885581286400. Its totient is φ = 602372505600.

The previous prime is 2553034075733. The next prime is 2553034075817. The reversal of 2553034075800 is 85704303552.

It is a happy number.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 5896152384 + ... + 5896152816.

It is an arithmetic number, because the mean of its divisors is an integer number (11569767300).

Almost surely, 2^{2553034075800} is an apocalyptic number.

2553034075800 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 2553034075800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442790643200).

2553034075800 is an abundant number, since it is smaller than the sum of its proper divisors (6332547210600).

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

2553034075800 is a wasteful number, since it uses less digits than its factorization.

2553034075800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 2553034075800 in words is "two trillion, five hundred fifty-three billion, thirty-four million, seventy-five thousand, eight hundred".