505226221056 has 240 divisors, whose sum is σ = 1472701683024. Its totient is φ = 166732480512.

The previous prime is 505226221039. The next prime is 505226221111. The reversal of 505226221056 is 650122622505.

505226221056 is a `hidden beast` number, since 5 + 0 + 5 + 22 + 622 + 1 + 0 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 505226221056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229334451 + ... + 229336653.

Almost surely, 2^505226221056 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 505226221056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736350841512).

505226221056 is an abundant number, since it is smaller than the sum of its proper divisors (967475461968).

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

505226221056 is a wasteful number, since it uses less digits than its factorization.

505226221056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 505226221056 in words is "five hundred five billion, two hundred twenty-six million, two hundred twenty-one thousand, fifty-six".