800196819552 has 144 divisors (see below), whose sum is σ = 2454019364160. Its totient is φ = 245871138816.

The previous prime is 800196819511. The next prime is 800196819661. The reversal of 800196819552 is 255918691008.

800196819552 is a `hidden beast` number, since 8 + 0 + 0 + 1 + 9 + 6 + 81 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×800196819552² (a number of 25 digits) contains 22 as substring.

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, 2543308 + ... + 2840564.

It is an arithmetic number, because the mean of its divisors is an integer number (17041801140).

Almost surely, 2^800196819552 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 800196819552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227009682080).

800196819552 is an abundant number, since it is smaller than the sum of its proper divisors (1653822544608).

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

800196819552 is a wasteful number, since it uses less digits than its factorization.

800196819552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298005 (or 297994 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 800196819552 in words is "eight hundred billion, one hundred ninety-six million, eight hundred nineteen thousand, five hundred fifty-two".