775253005056 has 216 divisors, whose sum is σ = 2250239191200. Its totient is φ = 256688898048.

The previous prime is 775253005013. The next prime is 775253005069. The reversal of 775253005056 is 650500352577.

775253005056 is a `hidden beast` number, since 77 + 525 + 3 + 0 + 0 + 5 + 0 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392930086 + ... + 392932058.

Almost surely, 2^775253005056 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 775253005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125119595600).

775253005056 is an abundant number, since it is smaller than the sum of its proper divisors (1474986186144).

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

775253005056 is a wasteful number, since it uses less digits than its factorization.

775253005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The spelling of 775253005056 in words is "seven hundred seventy-five billion, two hundred fifty-three million, five thousand, fifty-six".