2553128448000 has 832 divisors, whose sum is σ = 9466935004800. Its totient is φ = 606653644800.

The previous prime is 2553128447993. The next prime is 2553128448011. The reversal of 2553128448000 is 8448213552.

It is a tau number, because it is divible by the number of its divisors (832).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 579069796 + ... + 579074204.

It is an arithmetic number, because the mean of its divisors is an integer number (11378527650).

Almost surely, 2^{2553128448000} is an apocalyptic number.

2553128448000 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 2553128448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733467502400).

2553128448000 is an abundant number, since it is smaller than the sum of its proper divisors (6913806556800).

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

2553128448000 is a wasteful number, since it uses less digits than its factorization.

2553128448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 2553128448000 in words is "two trillion, five hundred fifty-three billion, one hundred twenty-eight million, four hundred forty-eight thousand".