87581239200 has 1152 divisors, whose sum is σ = 412938570240. Its totient is φ = 17385062400.

The previous prime is 87581239177. The next prime is 87581239201. The reversal of 87581239200 is 293218578.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (87581239201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33413890 + ... + 33416510.

It is an arithmetic number, because the mean of its divisors is an integer number (358453620).

Almost surely, 2^87581239200 is an apocalyptic number.

87581239200 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 87581239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206469285120).

87581239200 is an abundant number, since it is smaller than the sum of its proper divisors (325357331040).

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

87581239200 is a wasteful number, since it uses less digits than its factorization.

87581239200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 87581239200 in words is "eighty-seven billion, five hundred eighty-one million, two hundred thirty-nine thousand, two hundred".