50677329914064 has 540 divisors, whose sum is σ = 166844635813440. Its totient is φ = 14317205414400.

The previous prime is 50677329914059. The next prime is 50677329914119. The reversal of 50677329914064 is 46041992377605.

50677329914064 is a `hidden beast` number, since 50 + 6 + 7 + 73 + 29 + 91 + 406 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 50677329913992 and 50677329914010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 48775100457 + ... + 48775101495.

Almost surely, 2^{50677329914064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50677329914064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83422317906720).

50677329914064 is an abundant number, since it is smaller than the sum of its proper divisors (116167305899376).

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

50677329914064 is a wasteful number, since it uses less digits than its factorization.

50677329914064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 50677329914064 in words is "fifty trillion, six hundred seventy-seven billion, three hundred twenty-nine million, nine hundred fourteen thousand, sixty-four".