5045782118400 has 1020 divisors, whose sum is σ = 18885156894252. Its totient is φ = 1331775406080.

The previous prime is 5045782118341. The next prime is 5045782118401. The reversal of 5045782118400 is 48112875405.

5045782118400 is a `hidden beast` number, since 5 + 0 + 4 + 57 + 82 + 118 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9815261184 + 5035966857216 = 99072^2 + 2244096^2 .

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 (5045782118401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25613107102 + ... + 25613107298.

Almost surely, 2^{5045782118400} is an apocalyptic number.

5045782118400 is a gapful number since it is divisible by the number (50) 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 5045782118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9442578447126).

5045782118400 is an abundant number, since it is smaller than the sum of its proper divisors (13839374775852).

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

5045782118400 is an equidigital number, since it uses as much as digits as its factorization.

5045782118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 5045782118400 in words is "five trillion, forty-five billion, seven hundred eighty-two million, one hundred eighteen thousand, four hundred".