87506940576 has 288 divisors, whose sum is σ = 262108526400. Its totient is φ = 25522421760.

The previous prime is 87506940509. The next prime is 87506940601. The reversal of 87506940576 is 67504960578.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41688775 + ... + 41690873.

It is an arithmetic number, because the mean of its divisors is an integer number (910099050).

Almost surely, 2^87506940576 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 87506940576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131054263200).

87506940576 is an abundant number, since it is smaller than the sum of its proper divisors (174601585824).

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

87506940576 is a wasteful number, since it uses less digits than its factorization.

87506940576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 87506940576 in words is "eighty-seven billion, five hundred six million, nine hundred forty thousand, five hundred seventy-six".