50801845209984 has 512 divisors, whose sum is σ = 166195801036800. Its totient is φ = 15148029542400.

The previous prime is 50801845209959. The next prime is 50801845209989. The reversal of 50801845209984 is 48990254810805.

50801845209984 is a `hidden beast` number, since 5 + 0 + 8 + 0 + 18 + 4 + 520 + 9 + 98 + 4 = 666.

It is a super-3 number, since 3×50801845209984³ (a number of 42 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50801845209989) 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 63 ways as a sum of consecutive naturals, for example, 1196076172 + ... + 1196118644.

It is an arithmetic number, because the mean of its divisors is an integer number (324601173900).

Almost surely, 2^{50801845209984} is an apocalyptic number.

50801845209984 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 50801845209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83097900518400).

50801845209984 is an abundant number, since it is smaller than the sum of its proper divisors (115393955826816).

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

50801845209984 is a wasteful number, since it uses less digits than its factorization.

50801845209984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43011 (or 42993 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 50801845209984 in words is "fifty trillion, eight hundred one billion, eight hundred forty-five million, two hundred nine thousand, nine hundred eighty-four".