50271957033984 has 495 divisors, whose sum is σ = 174681256502313. Its totient is φ = 14359332298752.

The previous prime is 50271957033967. The next prime is 50271957033989. The reversal of 50271957033984 is 48933075917205.

The square root of 50271957033984 is 7090272.

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

50271957033984 is a `hidden beast` number, since 5 + 0 + 2 + 71 + 95 + 70 + 339 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48234691814400 + 2037265219584 = 6945120^2 + 1427328^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (50271957033989) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 14293986594 + ... + 14293990110.

Almost surely, 2^{50271957033984} is an apocalyptic number.

50271957033984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

50271957033984 is the 7090272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50271957033984

50271957033984 is an abundant number, since it is smaller than the sum of its proper divisors (124409299468329).

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

50271957033984 is an frugal number, since it uses more digits than its factorization.

50271957033984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7080 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 50271957033984 in words is "fifty trillion, two hundred seventy-one billion, nine hundred fifty-seven million, thirty-three thousand, nine hundred eighty-four".