87531745982976 has 280 divisors, whose sum is σ = 276019857690720. Its totient is φ = 27641601755136.

The previous prime is 87531745982963. The next prime is 87531745983013. The reversal of 87531745982976 is 67928954713578.

87531745982976 is a `hidden beast` number, since 8 + 7 + 5 + 3 + 17 + 4 + 598 + 2 + 9 + 7 + 6 = 666.

It is a super-2 number, since 2×87531745982976² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 87531745982895 and 87531745982904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 920301 + ... + 13263123.

Almost surely, 2^{87531745982976} 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 87531745982976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138009928845360).

87531745982976 is an abundant number, since it is smaller than the sum of its proper divisors (188488111707744).

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

87531745982976 is an equidigital number, since it uses as much as digits as its factorization.

87531745982976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12342878 (or 12342847 counting only the distinct ones).

The product of its digits is 6401203200, while the sum is 81.

The spelling of 87531745982976 in words is "eighty-seven trillion, five hundred thirty-one billion, seven hundred forty-five million, nine hundred eighty-two thousand, nine hundred seventy-six".