50917065728256 has 1728 divisors, whose sum is σ = 187304539968000. Its totient is φ = 12949010251776.

The previous prime is 50917065728227. The next prime is 50917065728257. The reversal of 50917065728256 is 65282756071905.

50917065728256 is a `hidden beast` number, since 5 + 0 + 9 + 1 + 7 + 0 + 6 + 572 + 8 + 2 + 56 = 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 = 50917065728193 and 50917065728202.

It is not an unprimeable number, because it can be changed into a prime (50917065728257) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 189282772090 + ... + 189282772358.

It is an arithmetic number, because the mean of its divisors is an integer number (108393831000).

Almost surely, 2^{50917065728256} is an apocalyptic number.

50917065728256 is a gapful number since it is divisible by the number (56) 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 50917065728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93652269984000).

50917065728256 is an abundant number, since it is smaller than the sum of its proper divisors (136387474239744).

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

50917065728256 is a wasteful number, since it uses less digits than its factorization.

50917065728256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 50917065728256 in words is "fifty trillion, nine hundred seventeen billion, sixty-five million, seven hundred twenty-eight thousand, two hundred fifty-six".