50686884864000 has 3584 divisors, whose sum is σ = 242015023411200. Its totient is φ = 10156769280000.

The previous prime is 50686884863983. The next prime is 50686884864043. The reversal of 50686884864000 is 46848868605.

50686884864000 is a `hidden beast` number, since 50 + 6 + 8 + 68 + 8 + 486 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

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

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 61737983590 + ... + 61737984410.

Almost surely, 2^{50686884864000} is an apocalyptic number.

50686884864000 is a gapful number since it is divisible by the number (50) 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 50686884864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121007511705600).

50686884864000 is an abundant number, since it is smaller than the sum of its proper divisors (191328138547200).

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

50686884864000 is a wasteful number, since it uses less digits than its factorization.

50686884864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 50686884864000 in words is "fifty trillion, six hundred eighty-six billion, eight hundred eighty-four million, eight hundred sixty-four thousand".