50641201296 has 675 divisors, whose sum is σ = 183856274019. Its totient is φ = 13415746176.

The previous prime is 50641201283. The next prime is 50641201301. The reversal of 50641201296 is 69210214605.

The square root of 50641201296 is 225036.

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

50641201296 is a `hidden beast` number, since 5 + 0 + 641 + 2 + 0 + 1 + 2 + 9 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 50641201296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1077472345 + ... + 1077472391.

Almost surely, 2^50641201296 is an apocalyptic number.

50641201296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

50641201296 is the 225036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50641201296

50641201296 is an abundant number, since it is smaller than the sum of its proper divisors (133215072723).

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

50641201296 is a wasteful number, since it uses less digits than its factorization.

50641201296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 50641201296 by its sum of digits (36), we get a square (1823083246656 = 1350216²).

50641201296 divided by its sum of digits (36) gives a square (1406700036 = 37506²).

The spelling of 50641201296 in words is "fifty billion, six hundred forty-one million, two hundred one thousand, two hundred ninety-six".