50568105600 has 672 divisors, whose sum is σ = 191293253100. Its totient is φ = 13198049280.

The previous prime is 50568105593. The next prime is 50568105607. The reversal of 50568105600 is 650186505.

It is an interprime number because it is at equal distance from previous prime (50568105593) and next prime (50568105607).

It can be written as a sum of positive squares in 6 ways, for example, as 35884482624 + 14683622976 = 189432^2 + 121176^2 .

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

It is not an unprimeable number, because it can be changed into a prime (50568105607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 123638196 + ... + 123638604.

Almost surely, 2^50568105600 is an apocalyptic number.

50568105600 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 50568105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95646626550).

50568105600 is an abundant number, since it is smaller than the sum of its proper divisors (140725147500).

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

50568105600 is an equidigital number, since it uses as much as digits as its factorization.

50568105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 50568105600 in words is "fifty billion, five hundred sixty-eight million, one hundred five thousand, six hundred".