2553181108128 has 96 divisors (see below), whose sum is σ = 8510603713920. Its totient is φ = 729480314880.

The previous prime is 2553181108123. The next prime is 2553181108151. The reversal of 2553181108128 is 8218011813552.

It is a happy number.

2553181108128 is a `hidden beast` number, since 2 + 5 + 531 + 8 + 1 + 10 + 81 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2553181108123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211070433 + ... + 211082528.

It is an arithmetic number, because the mean of its divisors is an integer number (88652122020).

Almost surely, 2^{2553181108128} is an apocalyptic number.

2553181108128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2553181108128 is an abundant number, since it is smaller than the sum of its proper divisors (5957422605792).

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

2553181108128 is a wasteful number, since it uses less digits than its factorization.

2553181108128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422152987 (or 422152973 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 2553181108128 in words is "two trillion, five hundred fifty-three billion, one hundred eighty-one million, one hundred eight thousand, one hundred twenty-eight".