36085738752 has 324 divisors, whose sum is σ = 127408488480. Its totient is φ = 9766987776.

The previous prime is 36085738727. The next prime is 36085738807. The reversal of 36085738752 is 25783758063.

36085738752 is a `hidden beast` number, since 3 + 60 + 8 + 573 + 8 + 7 + 5 + 2 = 666.

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 35 ways as a sum of consecutive naturals, for example, 2136613 + ... + 2153435.

Almost surely, 2^36085738752 is an apocalyptic number.

36085738752 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 36085738752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63704244240).

36085738752 is an abundant number, since it is smaller than the sum of its proper divisors (91322749728).

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

36085738752 is a wasteful number, since it uses less digits than its factorization.

36085738752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16878 (or 16854 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 36085738752 in words is "thirty-six billion, eighty-five million, seven hundred thirty-eight thousand, seven hundred fifty-two".