505345778028 has 576 divisors, whose sum is σ = 1701411712000. Its totient is φ = 122746337280.

The previous prime is 505345778023. The next prime is 505345778083. The reversal of 505345778028 is 820877543505.

505345778028 is a `hidden beast` number, since 5 + 0 + 534 + 5 + 7 + 7 + 80 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (505345778023) 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, 934095438 + ... + 934095978.

Almost surely, 2^505345778028 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 505345778028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850705856000).

505345778028 is an abundant number, since it is smaller than the sum of its proper divisors (1196065933972).

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

505345778028 is a wasteful number, since it uses less digits than its factorization.

505345778028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 505345778028 in words is "five hundred five billion, three hundred forty-five million, seven hundred seventy-eight thousand, twenty-eight".