86010602582016 has 1040 divisors, whose sum is σ = 300671044692480. Its totient is φ = 23992182374400.

The previous prime is 86010602581999. The next prime is 86010602582017. The reversal of 86010602582016 is 61028520601068.

86010602582016 is a `hidden beast` number, since 8 + 6 + 0 + 1 + 0 + 60 + 2 + 582 + 0 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86010602582017) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20690544610 + ... + 20690548766.

Almost surely, 2^{86010602582016} 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 86010602582016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150335522346240).

86010602582016 is an abundant number, since it is smaller than the sum of its proper divisors (214660442110464).

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

86010602582016 is a wasteful number, since it uses less digits than its factorization.

86010602582016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 86010602582016 in words is "eighty-six trillion, ten billion, six hundred two million, five hundred eighty-two thousand, sixteen".