2553624807552 has 1792 divisors, whose sum is σ = 9889254144000. Its totient is φ = 638522818560.

The previous prime is 2553624807551. The next prime is 2553624807589. The reversal of 2553624807552 is 2557084263552.

2553624807552 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 6 + 2 + 4 + 80 + 7 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2553624807551) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 23427750474 + ... + 23427750582.

It is an arithmetic number, because the mean of its divisors is an integer number (5518557000).

Almost surely, 2^{2553624807552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553624807552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944627072000).

2553624807552 is an abundant number, since it is smaller than the sum of its proper divisors (7335629336448).

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

2553624807552 is a wasteful number, since it uses less digits than its factorization.

2553624807552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 2553624807552 in words is "two trillion, five hundred fifty-three billion, six hundred twenty-four million, eight hundred seven thousand, five hundred fifty-two".