11585601657252 has 288 divisors, whose sum is σ = 35611194326400. Its totient is φ = 3246691279104.

The previous prime is 11585601657251. The next prime is 11585601657269. The reversal of 11585601657252 is 25275610658511.

11585601657252 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 5 + 6 + 0 + 16 + 572 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11585601657251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1526627074 + ... + 1526634662.

It is an arithmetic number, because the mean of its divisors is an integer number (123649980300).

Almost surely, 2^{11585601657252} is an apocalyptic number.

11585601657252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11585601657252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17805597163200).

11585601657252 is an abundant number, since it is smaller than the sum of its proper divisors (24025592669148).

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

11585601657252 is a wasteful number, since it uses less digits than its factorization.

11585601657252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13112 (or 13097 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 11585601657252 in words is "eleven trillion, five hundred eighty-five billion, six hundred one million, six hundred fifty-seven thousand, two hundred fifty-two".