80889048100 has 243 divisors, whose sum is σ = 217815950163. Its totient is φ = 25992798720.

The previous prime is 80889048077. The next prime is 80889048139. The reversal of 80889048100 is 184098808.

The square root of 80889048100 is 284410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1892076004 + 78996972096 = 43498^2 + 281064^2 .

It is a super-2 number, since 2×80889048100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 338447781 + ... + 338448019.

Almost surely, 2^80889048100 is an apocalyptic number.

80889048100 is the 284410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80889048100

80889048100 is an abundant number, since it is smaller than the sum of its proper divisors (136926902063).

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

80889048100 is a wasteful number, since it uses less digits than its factorization.

80889048100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 46.

The spelling of 80889048100 in words is "eighty billion, eight hundred eighty-nine million, forty-eight thousand, one hundred".