50061426668100 has 243 divisors, whose sum is σ = 165621441823383. Its totient is φ = 12646078404480.

The previous prime is 50061426668089. The next prime is 50061426668101. The reversal of 50061426668100 is 186662416005.

The square root of 50061426668100 is 7075410.

It is a perfect power (a square), and thus also a powerful number.

50061426668100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5822752389444 + 44238674278656 = 2413038^2 + 6651216^2 .

It is a super-2 number, since 2×50061426668100² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (50061426668101) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 4032977494 + ... + 4032989906.

Almost surely, 2^{50061426668100} is an apocalyptic number.

50061426668100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50061426668100 is the 7075410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50061426668100

50061426668100 is an abundant number, since it is smaller than the sum of its proper divisors (115560015155283).

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

50061426668100 is a wasteful number, since it uses less digits than its factorization.

50061426668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24884 (or 12442 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 50061426668100 in words is "fifty trillion, sixty-one billion, four hundred twenty-six million, six hundred sixty-eight thousand, one hundred".