87117004800 has 684 divisors, whose sum is σ = 358343873056. Its totient is φ = 19818086400.

The previous prime is 87117004739. The next prime is 87117004813. The reversal of 87117004800 is 840071178.

87117004800 is a `hidden beast` number, since 8 + 7 + 1 + 170 + 0 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 412876695 + ... + 412876905.

Almost surely, 2^87117004800 is an apocalyptic number.

87117004800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87117004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179171936528).

87117004800 is an abundant number, since it is smaller than the sum of its proper divisors (271226868256).

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

87117004800 is an equidigital number, since it uses as much as digits as its factorization.

87117004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

Adding to 87117004800 its reverse (840071178), we get a palindrome (87957075978).

The spelling of 87117004800 in words is "eighty-seven billion, one hundred seventeen million, four thousand, eight hundred".