50477206588416 has 264 divisors, whose sum is σ = 149548227006464. Its totient is φ = 16389611642880.

The previous prime is 50477206588399. The next prime is 50477206588439. The reversal of 50477206588416 is 61488560277405.

50477206588416 is a `hidden beast` number, since 5 + 0 + 4 + 7 + 7 + 2 + 0 + 6 + 588 + 41 + 6 = 666.

50477206588416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145264161 + ... + 145611231.

Almost surely, 2^{50477206588416} 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 50477206588416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74774113503232).

50477206588416 is an abundant number, since it is smaller than the sum of its proper divisors (99071020418048).

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

50477206588416 is a wasteful number, since it uses less digits than its factorization.

50477206588416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347507 (or 347486 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 50477206588416 in words is "fifty trillion, four hundred seventy-seven billion, two hundred six million, five hundred eighty-eight thousand, four hundred sixteen".