86752895872 has 128 divisors (see below), whose sum is σ = 194273280000. Its totient is φ = 38395607040.

The previous prime is 86752895861. The next prime is 86752895899. The reversal of 86752895872 is 27859825768.

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

It is a junction number, because it is equal to n+sod(n) for n = 86752895798 and 86752895807.

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, 2166529 + ... + 2206207.

It is an arithmetic number, because the mean of its divisors is an integer number (1517760000).

Almost surely, 2^86752895872 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 86752895872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97136640000).

86752895872 is an abundant number, since it is smaller than the sum of its proper divisors (107520384128).

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

86752895872 is a wasteful number, since it uses less digits than its factorization.

86752895872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39772 (or 39760 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 67.

The spelling of 86752895872 in words is "eighty-six billion, seven hundred fifty-two million, eight hundred ninety-five thousand, eight hundred seventy-two".