2553686863552 has 84 divisors (see below), whose sum is σ = 5625182163888. Its totient is φ = 1149273664000.

The previous prime is 2553686863537. The next prime is 2553686863589.

It is a happy number.

2553686863552 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 850348 + ... + 2414635.

It is an arithmetic number, because the mean of its divisors is an integer number (66966454332).

Almost surely, 2^{2553686863552} is an apocalyptic number.

2553686863552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2553686863552 is an abundant number, since it is smaller than the sum of its proper divisors (3071495300336).

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

2553686863552 is a wasteful number, since it uses less digits than its factorization.

2553686863552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265118 (or 3265097 counting only the distinct ones).

The product of its digits is 311040000, while the sum is 64.

The spelling of 2553686863552 in words is "two trillion, five hundred fifty-three billion, six hundred eighty-six million, eight hundred sixty-three thousand, five hundred fifty-two".