50256282700080 has 960 divisors, whose sum is σ = 185316139008000. Its totient is φ = 12172364144640.

The previous prime is 50256282700073. The next prime is 50256282700189. The reversal of 50256282700080 is 8000728265205.

50256282700080 is a `hidden beast` number, since 5 + 0 + 2 + 562 + 8 + 2 + 7 + 0 + 0 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 50256282699999 and 50256282700035.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4532896297 + ... + 4532907383.

It is an arithmetic number, because the mean of its divisors is an integer number (193037644800).

Almost surely, 2^{50256282700080} 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 50256282700080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92658069504000).

50256282700080 is an abundant number, since it is smaller than the sum of its proper divisors (135059856307920).

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

50256282700080 is a wasteful number, since it uses less digits than its factorization.

50256282700080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11362 (or 11353 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 50256282700080 in words is "fifty trillion, two hundred fifty-six billion, two hundred eighty-two million, seven hundred thousand, eighty".