36233154325120 has 128 divisors (see below), whose sum is σ = 86743782316800. Its totient is φ = 14472546631680.

The previous prime is 36233154325099. The next prime is 36233154325141. The reversal of 36233154325120 is 2152345133263.

It is an interprime number because it is at equal distance from previous prime (36233154325099) and next prime (36233154325141).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1321929976 + ... + 1321957384.

It is an arithmetic number, because the mean of its divisors is an integer number (677685799350).

Almost surely, 2^{36233154325120} 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 36233154325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43371891158400).

36233154325120 is an abundant number, since it is smaller than the sum of its proper divisors (50510627991680).

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

36233154325120 is a wasteful number, since it uses less digits than its factorization.

36233154325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30306 (or 30294 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 40.

Adding to 36233154325120 its reverse (2152345133263), we get a palindrome (38385499458383).

The spelling of 36233154325120 in words is "thirty-six trillion, two hundred thirty-three billion, one hundred fifty-four million, three hundred twenty-five thousand, one hundred twenty".