87238049184 has 576 divisors, whose sum is σ = 314555125248. Its totient is φ = 22523904000.

The previous prime is 87238049179. The next prime is 87238049207. The reversal of 87238049184 is 48194083278.

It is a happy number.

87238049184 is a `hidden beast` number, since 8 + 72 + 3 + 8 + 0 + 491 + 84 = 666.

It is a super-2 number, since 2×87238049184² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87238049184.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37105609 + ... + 37107959.

It is an arithmetic number, because the mean of its divisors is an integer number (546102648).

Almost surely, 2^87238049184 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 87238049184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157277562624).

87238049184 is an abundant number, since it is smaller than the sum of its proper divisors (227317076064).

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

87238049184 is a wasteful number, since it uses less digits than its factorization.

87238049184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 87238049184 in words is "eighty-seven billion, two hundred thirty-eight million, forty-nine thousand, one hundred eighty-four".