50605819941600 has 864 divisors, whose sum is σ = 226128976819200. Its totient is φ = 10343102976000.

The previous prime is 50605819941587. The next prime is 50605819941617. The reversal of 50605819941600 is 614991850605.

50605819941600 is a `hidden beast` number, since 5 + 0 + 60 + 5 + 81 + 99 + 416 + 0 + 0 = 666.

50605819941600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 33070201 + ... + 34566599.

It is an arithmetic number, because the mean of its divisors is an integer number (261723352800).

Almost surely, 2^{50605819941600} is an apocalyptic number.

50605819941600 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 50605819941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113064488409600).

50605819941600 is an abundant number, since it is smaller than the sum of its proper divisors (175523156877600).

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

50605819941600 is a wasteful number, since it uses less digits than its factorization.

50605819941600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496504 (or 1496488 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 50605819941600 in words is "fifty trillion, six hundred five billion, eight hundred nineteen million, nine hundred forty-one thousand, six hundred".