87371757010728 has 192 divisors, whose sum is σ = 241674082650000. Its totient is φ = 28510266470400.

The previous prime is 87371757010717. The next prime is 87371757010751. The reversal of 87371757010728 is 82701075717378.

87371757010728 is a `hidden beast` number, since 8 + 7 + 37 + 1 + 7 + 570 + 1 + 0 + 7 + 28 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37794977608644 + 49576779402084 = 6147762^2 + 7041078^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 908663998 + ... + 908760146.

Almost surely, 2^{87371757010728} 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 87371757010728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120837041325000).

87371757010728 is an abundant number, since it is smaller than the sum of its proper divisors (154302325639272).

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

87371757010728 is a wasteful number, since it uses less digits than its factorization.

87371757010728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97660 (or 97653 counting only the distinct ones).

The product of its (nonzero) digits is 32269440, while the sum is 63.

The spelling of 87371757010728 in words is "eighty-seven trillion, three hundred seventy-one billion, seven hundred fifty-seven million, ten thousand, seven hundred twenty-eight".