36089349120 has 704 divisors, whose sum is σ = 142125338880. Its totient is φ = 8719073280.

The previous prime is 36089349091. The next prime is 36089349137. The reversal of 36089349120 is 2194398063.

It is a happy number.

36089349120 is a `hidden beast` number, since 3 + 60 + 89 + 3 + 491 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×36089349120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 123171694 + ... + 123171986.

Almost surely, 2^36089349120 is an apocalyptic number.

36089349120 is a gapful number since it is divisible by the number (30) 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 36089349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71062669440).

36089349120 is an abundant number, since it is smaller than the sum of its proper divisors (106035989760).

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

36089349120 is an equidigital number, since it uses as much as digits as its factorization.

36089349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 36089349120 in words is "thirty-six billion, eighty-nine million, three hundred forty-nine thousand, one hundred twenty".