87632000000 has 154 divisors (see below), whose sum is σ = 219010204446. Its totient is φ = 35046400000.

The previous prime is 87631999969. The next prime is 87632000059. The reversal of 87632000000 is 23678.

It can be written as a sum of positive squares in 7 ways, for example, as 77542199296 + 10089800704 = 278464^2 + 100448^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 15997262 + ... + 16002738.

Almost surely, 2^87632000000 is an apocalyptic number.

87632000000 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 87632000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109505102223).

87632000000 is an abundant number, since it is smaller than the sum of its proper divisors (131378204446).

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

87632000000 is an frugal number, since it uses more digits than its factorization.

87632000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

Adding to 87632000000 its reverse (23678), we get a palindrome (87632023678).

The spelling of 87632000000 in words is "eighty-seven billion, six hundred thirty-two million", and thus it is an aban number.