2556112116552 has 32 divisors (see below), whose sum is σ = 6413349912000. Its totient is φ = 848961422784.

The previous prime is 2556112116527. The next prime is 2556112116587.

It is a happy number.

2556112116552 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2556112116552³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192240052 + ... + 192253347.

It is an arithmetic number, because the mean of its divisors is an integer number (200417184750).

Almost surely, 2^{2556112116552} is an apocalyptic number.

It is an amenable number.

2556112116552 is an abundant number, since it is smaller than the sum of its proper divisors (3857237795448).

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

2556112116552 is a wasteful number, since it uses less digits than its factorization.

2556112116552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384493685 (or 384493681 counting only the distinct ones).

The product of its digits is 180000, while the sum is 42.

The spelling of 2556112116552 in words is "two trillion, five hundred fifty-six billion, one hundred twelve million, one hundred sixteen thousand, five hundred fifty-two".