87109094800 has 960 divisors, whose sum is σ = 297580953600. Its totient is φ = 23688806400.

The previous prime is 87109094759. The next prime is 87109094867. The reversal of 87109094800 is 849090178.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 364473081 + ... + 364473319.

It is an arithmetic number, because the mean of its divisors is an integer number (309980160).

Almost surely, 2^87109094800 is an apocalyptic number.

87109094800 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 87109094800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148790476800).

87109094800 is an abundant number, since it is smaller than the sum of its proper divisors (210471858800).

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

87109094800 is a wasteful number, since it uses less digits than its factorization.

87109094800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 87109094800 in words is "eighty-seven billion, one hundred nine million, ninety-four thousand, eight hundred".