50513418547200 has 2808 divisors, whose sum is σ = 231196399014672. Its totient is φ = 10862293155840.

The previous prime is 50513418547199. The next prime is 50513418547219. The reversal of 50513418547200 is 274581431505.

50513418547200 is a `hidden beast` number, since 5 + 0 + 51 + 34 + 1 + 8 + 547 + 20 + 0 = 666.

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

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 20727704382 + ... + 20727706818.

It is an arithmetic number, because the mean of its divisors is an integer number (82334899934).

Almost surely, 2^{50513418547200} is an apocalyptic number.

50513418547200 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 50513418547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115598199507336).

50513418547200 is an abundant number, since it is smaller than the sum of its proper divisors (180682980467472).

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

50513418547200 is a wasteful number, since it uses less digits than its factorization.

50513418547200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

Adding to 50513418547200 its reverse (274581431505), we get a palindrome (50787999978705).

The spelling of 50513418547200 in words is "fifty trillion, five hundred thirteen billion, four hundred eighteen million, five hundred forty-seven thousand, two hundred".