45027882063360 has 1200 divisors, whose sum is σ = 189044061410160. Its totient is φ = 10213219860480.

The previous prime is 45027882063239. The next prime is 45027882063377. The reversal of 45027882063360 is 6336028872054.

45027882063360 is a `hidden beast` number, since 4 + 5 + 0 + 2 + 78 + 8 + 206 + 3 + 360 = 666.

45027882063360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45027882063360² (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 junction number, because it is equal to n+sod(n) for n = 45027882063297 and 45027882063306.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1331026926 + ... + 1331060754.

Almost surely, 2^{45027882063360} is an apocalyptic number.

45027882063360 is a gapful number since it is divisible by the number (40) 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 45027882063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94522030705080).

45027882063360 is an abundant number, since it is smaller than the sum of its proper divisors (144016179346800).

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

45027882063360 is a wasteful number, since it uses less digits than its factorization.

45027882063360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34009 (or 33977 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 45027882063360 in words is "forty-five trillion, twenty-seven billion, eight hundred eighty-two million, sixty-three thousand, three hundred sixty".