87200740224 has 576 divisors, whose sum is σ = 286465168080. Its totient is φ = 25301237760.

The previous prime is 87200740199. The next prime is 87200740241. The reversal of 87200740224 is 42204700278.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×87200740224³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 71 ways as a sum of consecutive naturals, for example, 1050611287 + ... + 1050611369.

Almost surely, 2^87200740224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87200740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143232584040).

87200740224 is an abundant number, since it is smaller than the sum of its proper divisors (199264427856).

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

87200740224 is a wasteful number, since it uses less digits than its factorization.

87200740224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 87200740224 in words is "eighty-seven billion, two hundred million, seven hundred forty thousand, two hundred twenty-four".