86771662000128 has 416 divisors, whose sum is σ = 295908092211200. Its totient is φ = 24613513887744.

The previous prime is 86771662000099. The next prime is 86771662000147. The reversal of 86771662000128 is 82100026617768.

86771662000128 is a `hidden beast` number, since 8 + 6 + 7 + 7 + 1 + 6 + 620 + 0 + 0 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107202825 + ... + 108009207.

Almost surely, 2^{86771662000128} 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 86771662000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147954046105600).

86771662000128 is an abundant number, since it is smaller than the sum of its proper divisors (209136430211072).

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

86771662000128 is a wasteful number, since it uses less digits than its factorization.

86771662000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806562 (or 806534 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 86771662000128 in words is "eighty-six trillion, seven hundred seventy-one billion, six hundred sixty-two million, one hundred twenty-eight", and thus it is an aban number.