87671232000 has 960 divisors, whose sum is σ = 350432267328. Its totient is φ = 20889600000.

The previous prime is 87671231969. The next prime is 87671232059. The reversal of 87671232000 is 23217678.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 639935932 + ... + 639936068.

Almost surely, 2^87671232000 is an apocalyptic number.

87671232000 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 87671232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175216133664).

87671232000 is an abundant number, since it is smaller than the sum of its proper divisors (262761035328).

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

87671232000 is a wasteful number, since it uses less digits than its factorization.

87671232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 87671232000 its reverse (23217678), we get a palindrome (87694449678).

The spelling of 87671232000 in words is "eighty-seven billion, six hundred seventy-one million, two hundred thirty-two thousand".