36549558979200 has 480 divisors, whose sum is σ = 142809804436860. Its totient is φ = 9173221539840.

The previous prime is 36549558979123. The next prime is 36549558979207. The reversal of 36549558979200 is 297985594563.

It is a happy number.

36549558979200 is a `hidden beast` number, since 3 + 6 + 5 + 49 + 558 + 9 + 7 + 9 + 20 + 0 = 666.

36549558979200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 16532811395136 + 20016747584064 = 4066056^2 + 4474008^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (36549558979207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 259074 + ... + 8553726.

Almost surely, 2^{36549558979200} is an apocalyptic number.

36549558979200 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 36549558979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71404902218430).

36549558979200 is an abundant number, since it is smaller than the sum of its proper divisors (106260245457660).

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

36549558979200 is a wasteful number, since it uses less digits than its factorization.

36549558979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294706 (or 8294680 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 36549558979200 in words is "thirty-six trillion, five hundred forty-nine billion, five hundred fifty-eight million, nine hundred seventy-nine thousand, two hundred".