87817070976 has 128 divisors (see below), whose sum is σ = 245821305600. Its totient is φ = 27700070400.

The previous prime is 87817070963. The next prime is 87817070977. The reversal of 87817070976 is 67907071878.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87817070977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6859141 + ... + 6871931.

It is an arithmetic number, because the mean of its divisors is an integer number (1920478950).

Almost surely, 2^87817070976 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 87817070976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122910652800).

87817070976 is an abundant number, since it is smaller than the sum of its proper divisors (158004234624).

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

87817070976 is a wasteful number, since it uses less digits than its factorization.

87817070976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13768 (or 13756 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 60.

The spelling of 87817070976 in words is "eighty-seven billion, eight hundred seventeen million, seventy thousand, nine hundred seventy-six".