36159754752 has 320 divisors, whose sum is σ = 117254459520. Its totient is φ = 10911744000.

The previous prime is 36159754751. The next prime is 36159754777. The reversal of 36159754752 is 25745795163.

It is a happy number.

36159754752 is a `hidden beast` number, since 3 + 6 + 1 + 5 + 97 + 547 + 5 + 2 = 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 (36159754751) 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 31 ways as a sum of consecutive naturals, for example, 60977368 + ... + 60977960.

It is an arithmetic number, because the mean of its divisors is an integer number (366420186).

Almost surely, 2^36159754752 is an apocalyptic number.

36159754752 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 36159754752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58627229760).

36159754752 is an abundant number, since it is smaller than the sum of its proper divisors (81094704768).

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

36159754752 is a wasteful number, since it uses less digits than its factorization.

36159754752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1010 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 54.

The spelling of 36159754752 in words is "thirty-six billion, one hundred fifty-nine million, seven hundred fifty-four thousand, seven hundred fifty-two".