5045118566400 has 1152 divisors, whose sum is σ = 20470886654400. Its totient is φ = 1223059046400.

The previous prime is 5045118566363. The next prime is 5045118566471. The reversal of 5045118566400 is 46658115405.

5045118566400 is a `hidden beast` number, since 5 + 0 + 4 + 5 + 1 + 185 + 66 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458647142395 + ... + 458647142405.

Almost surely, 2^{5045118566400} is an apocalyptic number.

5045118566400 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 5045118566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10235443327200).

5045118566400 is an abundant number, since it is smaller than the sum of its proper divisors (15425768088000).

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

5045118566400 is an frugal number, since it uses more digits than its factorization.

5045118566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 5045118566400 in words is "five trillion, forty-five billion, one hundred eighteen million, five hundred sixty-six thousand, four hundred".