36118791072 has 288 divisors, whose sum is σ = 128805925248. Its totient is φ = 9345742848.

The previous prime is 36118791061. The next prime is 36118791089. The reversal of 36118791072 is 27019781163.

36118791072 is a `hidden beast` number, since 361 + 187 + 9 + 107 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1376023 + ... + 1402025.

It is an arithmetic number, because the mean of its divisors is an integer number (447242796).

Almost surely, 2^36118791072 is an apocalyptic number.

36118791072 is a gapful number since it is divisible by the number (32) 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 36118791072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64402962624).

36118791072 is an abundant number, since it is smaller than the sum of its proper divisors (92687134176).

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

36118791072 is a wasteful number, since it uses less digits than its factorization.

36118791072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26092 (or 26081 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

Subtracting from 36118791072 its reverse (27019781163), we obtain a palindrome (9099009909).

The spelling of 36118791072 in words is "thirty-six billion, one hundred eighteen million, seven hundred ninety-one thousand, seventy-two".