87521641344 has 512 divisors, whose sum is σ = 281487360000. Its totient is φ = 26681260032.

The previous prime is 87521641321. The next prime is 87521641391. The reversal of 87521641344 is 44314612578.

87521641344 is a `hidden beast` number, since 87 + 521 + 6 + 4 + 1 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 87521641344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392473617 + ... + 392473839.

It is an arithmetic number, because the mean of its divisors is an integer number (549780000).

Almost surely, 2^87521641344 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 87521641344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140743680000).

87521641344 is an abundant number, since it is smaller than the sum of its proper divisors (193965718656).

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

87521641344 is a wasteful number, since it uses less digits than its factorization.

87521641344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 429 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 87521641344 in words is "eighty-seven billion, five hundred twenty-one million, six hundred forty-one thousand, three hundred forty-four".