87082064896 has 66 divisors (see below), whose sum is σ = 180290589440. Its totient is φ = 42039201792.

The previous prime is 87082064893. The next prime is 87082064899. The reversal of 87082064896 is 69846028078.

It is an interprime number because it is at equal distance from previous prime (87082064893) and next prime (87082064899).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 87082064896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87082064891) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 810625 + ... + 911743.

Almost surely, 2^87082064896 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 87082064896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90145294720).

87082064896 is an abundant number, since it is smaller than the sum of its proper divisors (93208524544).

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

87082064896 is a wasteful number, since it uses less digits than its factorization.

87082064896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101197 (or 101150 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 87082064896 in words is "eighty-seven billion, eighty-two million, sixty-four thousand, eight hundred ninety-six".