86358859776 has 672 divisors, whose sum is σ = 312236388480. Its totient is φ = 23102226432.

The previous prime is 86358859771. The next prime is 86358859789. The reversal of 86358859776 is 67795885368.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86358859771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447455136 + ... + 447455328.

Almost surely, 2^86358859776 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 86358859776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156118194240).

86358859776 is an abundant number, since it is smaller than the sum of its proper divisors (225877528704).

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

86358859776 is a wasteful number, since it uses less digits than its factorization.

86358859776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 222 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 86358859776 in words is "eighty-six billion, three hundred fifty-eight million, eight hundred fifty-nine thousand, seven hundred seventy-six".