87259202208 has 192 divisors, whose sum is σ = 258533130240. Its totient is φ = 28627603200.

The previous prime is 87259202183. The next prime is 87259202209. The reversal of 87259202208 is 80220295278.

It is a super-2 number, since 2×87259202208² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87259202209) 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 31 ways as a sum of consecutive naturals, for example, 59318913 + ... + 59320383.

It is an arithmetic number, because the mean of its divisors is an integer number (1346526720).

Almost surely, 2^87259202208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87259202208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129266565120).

87259202208 is an abundant number, since it is smaller than the sum of its proper divisors (171273928032).

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

87259202208 is a wasteful number, since it uses less digits than its factorization.

87259202208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 87259202208 in words is "eighty-seven billion, two hundred fifty-nine million, two hundred two thousand, two hundred eight".