12358590552 has 640 divisors, whose sum is σ = 45915724800. Its totient is φ = 3035957760.

The previous prime is 12358590551. The next prime is 12358590577. The reversal of 12358590552 is 25509585321.

It is a happy number.

12358590552 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 8 + 5 + 90 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12358590498 and 12358590507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12358590551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 138860524 + ... + 138860612.

It is an arithmetic number, because the mean of its divisors is an integer number (71743320).

Almost surely, 2^12358590552 is an apocalyptic number.

12358590552 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 12358590552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22957862400).

12358590552 is an abundant number, since it is smaller than the sum of its proper divisors (33557134248).

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

12358590552 is a wasteful number, since it uses less digits than its factorization.

12358590552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 12358590552 in words is "twelve billion, three hundred fifty-eight million, five hundred ninety thousand, five hundred fifty-two".