87909408000 has 288 divisors, whose sum is σ = 324437742720. Its totient is φ = 23442278400.

The previous prime is 87909407959. The next prime is 87909408061. The reversal of 87909408000 is 80490978.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813127 + ... + 914873.

It is an arithmetic number, because the mean of its divisors is an integer number (1126519940).

Almost surely, 2^87909408000 is an apocalyptic number.

87909408000 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 87909408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162218871360).

87909408000 is an abundant number, since it is smaller than the sum of its proper divisors (236528334720).

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

87909408000 is a wasteful number, since it uses less digits than its factorization.

87909408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101787 (or 101757 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

Adding to 87909408000 its reverse (80490978), we get a palindrome (87989898978).

The spelling of 87909408000 in words is "eighty-seven billion, nine hundred nine million, four hundred eight thousand".