11555630406 has 96 divisors (see below), whose sum is σ = 27319874400. Its totient is φ = 3516065280.

The previous prime is 11555630369. The next prime is 11555630407. The reversal of 11555630406 is 60403655511.

11555630406 is a `hidden beast` number, since 1 + 1 + 55 + 563 + 0 + 40 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11555630407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6713626 + ... + 6715346.

It is an arithmetic number, because the mean of its divisors is an integer number (284582025).

Almost surely, 2^11555630406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11555630406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659937200).

11555630406 is an abundant number, since it is smaller than the sum of its proper divisors (15764243994).

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

11555630406 is a wasteful number, since it uses less digits than its factorization.

11555630406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 11555630406 in words is "eleven billion, five hundred fifty-five million, six hundred thirty thousand, four hundred six".