87755395806225 has 567 divisors, whose sum is σ = 198858973024299. Its totient is φ = 38283514315200.

The previous prime is 87755395806191. The next prime is 87755395806241. The reversal of 87755395806225 is 52260859355778.

The square root of 87755395806225 is 9367785.

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

87755395806225 is a `hidden beast` number, since 8 + 7 + 7 + 5 + 5 + 39 + 580 + 6 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31591942490241 + 56163453315984 = 5620671^2 + 7494228^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is not a de Polignac number, because 87755395806225 - 2⁹ = 87755395805713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 203608806760 + ... + 203608807190.

Almost surely, 2^{87755395806225} is an apocalyptic number.

87755395806225 is the 9367785-th square number.

87755395806225 is the 4683893-rd centered octagonal number.

It is an amenable number.

87755395806225 is an abundant number, since it is smaller than the sum of its proper divisors (111103577218074).

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

87755395806225 is an frugal number, since it uses more digits than its factorization.

87755395806225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1270080000, while the sum is 72.

The spelling of 87755395806225 in words is "eighty-seven trillion, seven hundred fifty-five billion, three hundred ninety-five million, eight hundred six thousand, two hundred twenty-five".