87210728500 has 192 divisors, whose sum is σ = 226252615680. Its totient is φ = 28732838400.

The previous prime is 87210728483. The next prime is 87210728537. The reversal of 87210728500 is 582701278.

It is a super-2 number, since 2×87210728500² (a number of 23 digits) contains 22 as substring.

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, 22632574 + ... + 22636426.

It is an arithmetic number, because the mean of its divisors is an integer number (1178399040).

Almost surely, 2^87210728500 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 87210728500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113126307840).

87210728500 is an abundant number, since it is smaller than the sum of its proper divisors (139041887180).

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

87210728500 is a wasteful number, since it uses less digits than its factorization.

87210728500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The spelling of 87210728500 in words is "eighty-seven billion, two hundred ten million, seven hundred twenty-eight thousand, five hundred".