86891090950620 has 144 divisors (see below), whose sum is σ = 287629108891488. Its totient is φ = 21057284206080.

The previous prime is 86891090950579. The next prime is 86891090950621. The reversal of 86891090950620 is 2605909019868.

86891090950620 is a `hidden beast` number, since 8 + 6 + 8 + 9 + 10 + 90 + 9 + 506 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86891090950621) 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, 1746519 + ... + 13297838.

It is an arithmetic number, because the mean of its divisors is an integer number (1997424367302).

Almost surely, 2^{86891090950620} 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 86891090950620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143814554445744).

86891090950620 is an abundant number, since it is smaller than the sum of its proper divisors (200738017940868).

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

86891090950620 is a wasteful number, since it uses less digits than its factorization.

86891090950620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15047300 (or 15047295 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 86891090950620 in words is "eighty-six trillion, eight hundred ninety-one billion, ninety million, nine hundred fifty thousand, six hundred twenty".