2553472743552 has 128 divisors (see below), whose sum is σ = 7610908867200. Its totient is φ = 842730163200.

The previous prime is 2553472743499. The next prime is 2553472743559.

2553472743552 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 47 + 2 + 7 + 43 + 552 = 666.

2553472743552 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

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 (2553472743559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3308628 + ... + 4006739.

It is an arithmetic number, because the mean of its divisors is an integer number (59460225525).

Almost surely, 2^{2553472743552} is an apocalyptic number.

It is an amenable number.

2553472743552 is an abundant number, since it is smaller than the sum of its proper divisors (5057436123648).

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

2553472743552 is a wasteful number, since it uses less digits than its factorization.

2553472743552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7315491 (or 7315473 counting only the distinct ones).

The product of its digits is 35280000, while the sum is 54.

The spelling of 2553472743552 in words is "two trillion, five hundred fifty-three billion, four hundred seventy-two million, seven hundred forty-three thousand, five hundred fifty-two".