87208823680 has 320 divisors, whose sum is σ = 235958864400. Its totient is φ = 30802534400.

The previous prime is 87208823627. The next prime is 87208823683. The reversal of 87208823680 is 8632880278.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87208823683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 384179727 + ... + 384179953.

Almost surely, 2^87208823680 is an apocalyptic number.

87208823680 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 87208823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117979432200).

87208823680 is an abundant number, since it is smaller than the sum of its proper divisors (148750040720).

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

87208823680 is an equidigital number, since it uses as much as digits as its factorization.

87208823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The spelling of 87208823680 in words is "eighty-seven billion, two hundred eight million, eight hundred twenty-three thousand, six hundred eighty".