5146018732800 has 1728 divisors, whose sum is σ = 21925971648000. Its totient is φ = 1167851520000.

The previous prime is 5146018732741. The next prime is 5146018732843. The reversal of 5146018732800 is 82378106415.

5146018732800 is a `hidden beast` number, since 5 + 1 + 4 + 601 + 8 + 7 + 32 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3214252000 + ... + 3214253600.

It is an arithmetic number, because the mean of its divisors is an integer number (12688641000).

Almost surely, 2^{5146018732800} is an apocalyptic number.

5146018732800 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 5146018732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10962985824000).

5146018732800 is an abundant number, since it is smaller than the sum of its proper divisors (16779952915200).

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

5146018732800 is a wasteful number, since it uses less digits than its factorization.

5146018732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 5146018732800 in words is "five trillion, one hundred forty-six billion, eighteen million, seven hundred thirty-two thousand, eight hundred".