36112888627200 has 5184 divisors, whose sum is σ = 181740847841280. Its totient is φ = 6879707136000.

The previous prime is 36112888627163. The next prime is 36112888627213. The reversal of 36112888627200 is 272688821163.

36112888627200 is a `hidden beast` number, since 3 + 6 + 1 + 1 + 2 + 8 + 8 + 8 + 627 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×36112888627200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1164931891185 + ... + 1164931891215.

It is an arithmetic number, because the mean of its divisors is an integer number (35058033920).

Almost surely, 2^{36112888627200} is an apocalyptic number.

36112888627200 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 36112888627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90870423920640).

36112888627200 is an abundant number, since it is smaller than the sum of its proper divisors (145627959214080).

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

36112888627200 is an equidigital number, since it uses as much as digits as its factorization.

36112888627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 36112888627200 in words is "thirty-six trillion, one hundred twelve billion, eight hundred eighty-eight million, six hundred twenty-seven thousand, two hundred".