11588632704 has 144 divisors (see below), whose sum is σ = 36655128510. Its totient is φ = 3511664640.

The previous prime is 11588632681. The next prime is 11588632721. The reversal of 11588632704 is 40723688511.

11588632704 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 8 + 632 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11545072704 + 43560000 = 107448^2 + 6600^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 11588632704.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97824 + ... + 180960.

Almost surely, 2^11588632704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11588632704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18327564255).

11588632704 is an abundant number, since it is smaller than the sum of its proper divisors (25066495806).

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

11588632704 is a wasteful number, since it uses less digits than its factorization.

11588632704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83179 (or 83153 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11588632704 in words is "eleven billion, five hundred eighty-eight million, six hundred thirty-two thousand, seven hundred four".