36132431005000 has 960 divisors, whose sum is σ = 101460837139200. Its totient is φ = 11923718400000.

The previous prime is 36132431004991. The next prime is 36132431005003. The reversal of 36132431005000 is 50013423163.

It is a self number, because there is not a number n which added to its sum of digits gives 36132431005000.

It is not an unprimeable number, because it can be changed into a prime (36132431005003) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 117695214847 + ... + 117695215153.

It is an arithmetic number, because the mean of its divisors is an integer number (105688372020).

Almost surely, 2^{36132431005000} 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 36132431005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50730418569600).

36132431005000 is an abundant number, since it is smaller than the sum of its proper divisors (65328406134200).

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

36132431005000 is a wasteful number, since it uses less digits than its factorization.

36132431005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 36132431005000 its reverse (50013423163), we get a palindrome (36182444428163).

The spelling of 36132431005000 in words is "thirty-six trillion, one hundred thirty-two billion, four hundred thirty-one million, five thousand".