12637555506 has 48 divisors (see below), whose sum is σ = 29079861408. Its totient is φ = 3952713600.

The previous prime is 12637555499. The next prime is 12637555507. The reversal of 12637555506 is 60555573621.

12637555506 is a `hidden beast` number, since 1 + 2 + 637 + 5 + 5 + 5 + 5 + 0 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12637555507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38901 + ... + 163671.

It is an arithmetic number, because the mean of its divisors is an integer number (605830446).

Almost surely, 2^12637555506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12637555506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14539930704).

12637555506 is an abundant number, since it is smaller than the sum of its proper divisors (16442305902).

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

12637555506 is a wasteful number, since it uses less digits than its factorization.

12637555506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125127 (or 125124 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 12637555506 in words is "twelve billion, six hundred thirty-seven million, five hundred fifty-five thousand, five hundred six".