87686831232 has 1920 divisors, whose sum is σ = 382925854080. Its totient is φ = 19508428800.

The previous prime is 87686831207. The next prime is 87686831269. The reversal of 87686831232 is 23213868678.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1235025757 + ... + 1235025827.

It is an arithmetic number, because the mean of its divisors is an integer number (199440549).

Almost surely, 2^87686831232 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 87686831232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191462927040).

87686831232 is an abundant number, since it is smaller than the sum of its proper divisors (295239022848).

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

87686831232 is a wasteful number, since it uses less digits than its factorization.

87686831232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 87686831232 in words is "eighty-seven billion, six hundred eighty-six million, eight hundred thirty-one thousand, two hundred thirty-two".