2553360633552 has 40 divisors (see below), whose sum is σ = 6661490378400. Its totient is φ = 842693276800.

The previous prime is 2553360633539. The next prime is 2553360633557.

2553360633552 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553360633557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263336802 + ... + 263346497.

It is an arithmetic number, because the mean of its divisors is an integer number (166537259460).

Almost surely, 2^{2553360633552} is an apocalyptic number.

It is an amenable number.

2553360633552 is an abundant number, since it is smaller than the sum of its proper divisors (4108129744848).

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

2553360633552 is a wasteful number, since it uses less digits than its factorization.

2553360633552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526683411 (or 526683405 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 48.

The spelling of 2553360633552 in words is "two trillion, five hundred fifty-three billion, three hundred sixty million, six hundred thirty-three thousand, five hundred fifty-two".