87320985600 has 192 divisors, whose sum is σ = 288745112880. Its totient is φ = 23284940800.

The previous prime is 87320985599. The next prime is 87320985611. The reversal of 87320985600 is 658902378.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 87320985600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2439835 + ... + 2475365.

Almost surely, 2^87320985600 is an apocalyptic number.

87320985600 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 87320985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144372556440).

87320985600 is an abundant number, since it is smaller than the sum of its proper divisors (201424127280).

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

87320985600 is an equidigital number, since it uses as much as digits as its factorization.

87320985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35574 (or 35541 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 87320985600 in words is "eighty-seven billion, three hundred twenty million, nine hundred eighty-five thousand, six hundred".