36087167600 has 120 divisors (see below), whose sum is σ = 94673799120. Its totient is φ = 13109760000.

The previous prime is 36087167593. The next prime is 36087167603. The reversal of 36087167600 is 676178063.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36087167603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5280986 + ... + 5287814.

It is an arithmetic number, because the mean of its divisors is an integer number (788948326).

Almost surely, 2^36087167600 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 36087167600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47336899560).

36087167600 is an abundant number, since it is smaller than the sum of its proper divisors (58586631520).

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

36087167600 is a wasteful number, since it uses less digits than its factorization.

36087167600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8059 (or 8048 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 36087167600 in words is "thirty-six billion, eighty-seven million, one hundred sixty-seven thousand, six hundred".