2553062516928 has 1008 divisors, whose sum is σ = 9498561306624. Its totient is φ = 648167546880.

The previous prime is 2553062516911. The next prime is 2553062516941. The reversal of 2553062516928 is 8296152603552.

2553062516928 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 0 + 625 + 1 + 6 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2878311301 + ... + 2878312187.

Almost surely, 2^{2553062516928} is an apocalyptic number.

2553062516928 is a gapful number since it is divisible by the number (28) 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 2553062516928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749280653312).

2553062516928 is an abundant number, since it is smaller than the sum of its proper divisors (6945498789696).

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

2553062516928 is a wasteful number, since it uses less digits than its factorization.

2553062516928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 2553062516928 in words is "two trillion, five hundred fifty-three billion, sixty-two million, five hundred sixteen thousand, nine hundred twenty-eight".