87436680128 has 112 divisors (see below), whose sum is σ = 200374056960. Its totient is φ = 37081857024.

The previous prime is 87436680109. The next prime is 87436680167. The reversal of 87436680128 is 82108663478.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 87436680128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17280863 + ... + 17285921.

It is an arithmetic number, because the mean of its divisors is an integer number (1789054080).

Almost surely, 2^87436680128 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 87436680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100187028480).

87436680128 is an abundant number, since it is smaller than the sum of its proper divisors (112937376832).

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

87436680128 is a wasteful number, since it uses less digits than its factorization.

87436680128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 87436680128 in words is "eighty-seven billion, four hundred thirty-six million, six hundred eighty thousand, one hundred twenty-eight".