50441610816000 has 800 divisors, whose sum is σ = 193954216135680. Its totient is φ = 13017148416000.

The previous prime is 50441610815983. The next prime is 50441610816049. The reversal of 50441610816000 is 61801614405.

50441610816000 is a `hidden beast` number, since 5 + 0 + 4 + 41 + 6 + 1 + 0 + 8 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×50441610816000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 160547061 + ... + 160860939.

Almost surely, 2^{50441610816000} is an apocalyptic number.

50441610816000 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 50441610816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96977108067840).

50441610816000 is an abundant number, since it is smaller than the sum of its proper divisors (143512605319680).

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

50441610816000 is an equidigital number, since it uses as much as digits as its factorization.

50441610816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313955 (or 313920 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 50441610816000 in words is "fifty trillion, four hundred forty-one billion, six hundred ten million, eight hundred sixteen thousand".