87537281688 has 256 divisors, whose sum is σ = 272246400000. Its totient is φ = 25898932224.

The previous prime is 87537281683. The next prime is 87537281693. The reversal of 87537281688 is 88618273578.

87537281688 is a `hidden beast` number, since 8 + 7 + 537 + 2 + 8 + 16 + 88 = 666.

It is a Cunningham number, because it is equal to 295867²-1.

It is an interprime number because it is at equal distance from previous prime (87537281683) and next prime (87537281693).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87537281683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15974133 + ... + 15979611.

It is an arithmetic number, because the mean of its divisors is an integer number (1063462500).

Almost surely, 2^87537281688 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 87537281688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136123200000).

87537281688 is an abundant number, since it is smaller than the sum of its proper divisors (184709118312).

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

87537281688 is a wasteful number, since it uses less digits than its factorization.

87537281688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5759 (or 5749 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 63.

The spelling of 87537281688 in words is "eighty-seven billion, five hundred thirty-seven million, two hundred eighty-one thousand, six hundred eighty-eight".