87817395600 has 405 divisors, whose sum is σ = 335721678019. Its totient is φ = 21241651200.

The previous prime is 87817395587. The next prime is 87817395607. The reversal of 87817395600 is 659371878.

The square root of 87817395600 is 296340.

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

87817395600 is a `hidden beast` number, since 8 + 7 + 8 + 1 + 73 + 9 + 560 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78216336 + 87739179264 = 8844^2 + 296208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87817395607) 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, 195584176 + ... + 195584624.

Almost surely, 2^87817395600 is an apocalyptic number.

87817395600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87817395600 is the 296340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87817395600

87817395600 is an abundant number, since it is smaller than the sum of its proper divisors (247904282419).

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

87817395600 is a wasteful number, since it uses less digits than its factorization.

87817395600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 87817395600 in words is "eighty-seven billion, eight hundred seventeen million, three hundred ninety-five thousand, six hundred".