50827724221824 has 1024 divisors, whose sum is σ = 176154476544000. Its totient is φ = 14384418048000.

The previous prime is 50827724221823. The next prime is 50827724221837. The reversal of 50827724221824 is 42812242772805.

50827724221824 is a `hidden beast` number, since 50 + 8 + 27 + 72 + 422 + 1 + 82 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50827724221823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6205309569 + ... + 6205317759.

It is an arithmetic number, because the mean of its divisors is an integer number (172025856000).

Almost surely, 2^{50827724221824} is an apocalyptic number.

50827724221824 is a gapful number since it is divisible by the number (54) 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 50827724221824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88077238272000).

50827724221824 is an abundant number, since it is smaller than the sum of its proper divisors (125326752322176).

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

50827724221824 is a wasteful number, since it uses less digits than its factorization.

50827724221824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8337 (or 8297 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 54.

The spelling of 50827724221824 in words is "fifty trillion, eight hundred twenty-seven billion, seven hundred twenty-four million, two hundred twenty-one thousand, eight hundred twenty-four".