50974142165200 has 60 divisors (see below), whose sum is σ = 122476197341740. Its totient is φ = 20387855278080.

The previous prime is 50974142165197. The next prime is 50974142165237. The reversal of 50974142165200 is 256124147905.

50974142165200 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 6 ways, for example, as 9449395264 + 50964692769936 = 97208^2 + 7138956^2 .

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 11 ways as a sum of consecutive naturals, for example, 1092699 + ... + 10155898.

Almost surely, 2^{50974142165200} is an apocalyptic number.

50974142165200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

50974142165200 is an abundant number, since it is smaller than the sum of its proper divisors (71502055176540).

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

50974142165200 is a wasteful number, since it uses less digits than its factorization.

50974142165200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11259944 (or 11259933 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

It can be divided in two parts, 509741 and 42165200, that added together give a triangular number (42674941 = T₉₂₃₈).

The spelling of 50974142165200 in words is "fifty trillion, nine hundred seventy-four billion, one hundred forty-two million, one hundred sixty-five thousand, two hundred".