2553052805280 has 144 divisors (see below), whose sum is σ = 8712717478920. Its totient is φ = 680780888064.

The previous prime is 2553052805269. The next prime is 2553052805323. The reversal of 2553052805280 is 825082503552.

2553052805280 is a `hidden beast` number, since 25 + 53 + 0 + 52 + 8 + 0 + 528 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2289156896016 + 263895909264 = 1512996^2 + 513708^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 48168874 + ... + 48221846.

Almost surely, 2^{2553052805280} is an apocalyptic number.

2553052805280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553052805280 is an abundant number, since it is smaller than the sum of its proper divisors (6159664673640).

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

2553052805280 is a wasteful number, since it uses less digits than its factorization.

2553052805280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86463 (or 86452 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 2553052805280 in words is "two trillion, five hundred fifty-three billion, fifty-two million, eight hundred five thousand, two hundred eighty".