87500621824 has 288 divisors, whose sum is σ = 229277018880. Its totient is φ = 32978534400.

The previous prime is 87500621729. The next prime is 87500621839. The reversal of 87500621824 is 42812600578.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34218754 + ... + 34221310.

It is an arithmetic number, because the mean of its divisors is an integer number (796100760).

Almost surely, 2^87500621824 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 87500621824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114638509440).

87500621824 is an abundant number, since it is smaller than the sum of its proper divisors (141776397056).

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

87500621824 is a wasteful number, since it uses less digits than its factorization.

87500621824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 87500621824 in words is "eighty-seven billion, five hundred million, six hundred twenty-one thousand, eight hundred twenty-four".