2563686101152 has 48 divisors (see below), whose sum is σ = 5506261733952. Its totient is φ = 1165277329920.

The previous prime is 2563686101143. The next prime is 2563686101159. The reversal of 2563686101152 is 2511016863652.

It is not an unprimeable number, because it can be changed into a prime (2563686101159) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14648788 + ... + 14822764.

It is an arithmetic number, because the mean of its divisors is an integer number (114713786124).

Almost surely, 2^{2563686101152} is an apocalyptic number.

2563686101152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2563686101152 is an abundant number, since it is smaller than the sum of its proper divisors (2942575632800).

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

2563686101152 is a wasteful number, since it uses less digits than its factorization.

2563686101152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215861 (or 215853 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 2563686101152 in words is "two trillion, five hundred sixty-three billion, six hundred eighty-six million, one hundred one thousand, one hundred fifty-two".