36132280450560 has 1280 divisors, whose sum is σ = 150992301588480. Its totient is φ = 8018800312320.

The previous prime is 36132280450531. The next prime is 36132280450561. The reversal of 36132280450560 is 6505408223163.

36132280450560 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 2 + 2 + 80 + 4 + 5 + 0 + 560 = 666.

36132280450560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36132280450561) 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 127 ways as a sum of consecutive naturals, for example, 2888034705 + ... + 2888047215.

It is an arithmetic number, because the mean of its divisors is an integer number (117962735616).

Almost surely, 2^{36132280450560} is an apocalyptic number.

36132280450560 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 36132280450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75496150794240).

36132280450560 is an abundant number, since it is smaller than the sum of its proper divisors (114860021137920).

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

36132280450560 is a wasteful number, since it uses less digits than its factorization.

36132280450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12724 (or 12702 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 36132280450560 in words is "thirty-six trillion, one hundred thirty-two billion, two hundred eighty million, four hundred fifty thousand, five hundred sixty".