89255823100900 has 243 divisors, whose sum is σ = 201029842381851. Its totient is φ = 34397474186880.

The previous prime is 89255823100877. The next prime is 89255823100903. The reversal of 89255823100900 is 900132855298.

The square root of 89255823100900 is 9447530.

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 9825804928996 + 79430018171904 = 3134614^2 + 8912352^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89255823100903) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 515929613214 + ... + 515929613386.

Almost surely, 2^{89255823100900} is an apocalyptic number.

89255823100900 is the 9447530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89255823100900

89255823100900 is an abundant number, since it is smaller than the sum of its proper divisors (111774019280951).

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

89255823100900 is a wasteful number, since it uses less digits than its factorization.

89255823100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 52.

The spelling of 89255823100900 in words is "eighty-nine trillion, two hundred fifty-five billion, eight hundred twenty-three million, one hundred thousand, nine hundred".