87129336000 has 448 divisors, whose sum is σ = 343112140800. Its totient is φ = 19048550400.

The previous prime is 87129335989. The next prime is 87129336001. The reversal of 87129336000 is 63392178.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 87129336000.

It is not an unprimeable number, because it can be changed into a prime (87129336001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3852726 + ... + 3875274.

Almost surely, 2^87129336000 is an apocalyptic number.

87129336000 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 87129336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171556070400).

87129336000 is an abundant number, since it is smaller than the sum of its proper divisors (255982804800).

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

87129336000 is a wasteful number, since it uses less digits than its factorization.

87129336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22609 (or 22589 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 87129336000 in words is "eighty-seven billion, one hundred twenty-nine million, three hundred thirty-six thousand".