800255753550 has 144 divisors (see below), whose sum is σ = 2345851851408. Its totient is φ = 193970380800.

The previous prime is 800255753477. The next prime is 800255753629. The reversal of 800255753550 is 55357552008.

800255753550 is a `hidden beast` number, since 8 + 0 + 0 + 25 + 5 + 75 + 3 + 550 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 = 800255753496 and 800255753505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52526734 + ... + 52541966.

It is an arithmetic number, because the mean of its divisors is an integer number (16290637857).

Almost surely, 2^800255753550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800255753550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172925925704).

800255753550 is an abundant number, since it is smaller than the sum of its proper divisors (1545596097858).

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

800255753550 is a wasteful number, since it uses less digits than its factorization.

800255753550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25875 (or 25867 counting only the distinct ones).

The product of its (nonzero) digits is 1050000, while the sum is 45.

The spelling of 800255753550 in words is "eight hundred billion, two hundred fifty-five million, seven hundred fifty-three thousand, five hundred fifty".