87066104363056 has 720 divisors, whose sum is σ = 233652620441856. Its totient is φ = 30595007176704.

The previous prime is 87066104363011. The next prime is 87066104363093. The reversal of 87066104363056 is 65036340166078.

It is a junction number, because it is equal to n+sod(n) for n = 87066104362988 and 87066104363006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46634227435 + ... + 46634229301.

Almost surely, 2^{87066104363056} 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 87066104363056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116826310220928).

87066104363056 is an abundant number, since it is smaller than the sum of its proper divisors (146586516078800).

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

87066104363056 is a wasteful number, since it uses less digits than its factorization.

87066104363056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 87066104363056 in words is "eighty-seven trillion, sixty-six billion, one hundred four million, three hundred sixty-three thousand, fifty-six".