86353181925120 has 1728 divisors, whose sum is σ = 340376738817024. Its totient is φ = 20028547399680.

The previous prime is 86353181925001. The next prime is 86353181925121. The reversal of 86353181925120 is 2152918135368.

86353181925120 is a `hidden beast` number, since 8 + 6 + 3 + 5 + 31 + 8 + 1 + 92 + 512 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86353181925121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78717576412 + ... + 78717577508.

It is an arithmetic number, because the mean of its divisors is an integer number (196977279408).

Almost surely, 2^{86353181925120} is an apocalyptic number.

86353181925120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86353181925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170188369408512).

86353181925120 is an abundant number, since it is smaller than the sum of its proper divisors (254023556891904).

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

86353181925120 is a wasteful number, since it uses less digits than its factorization.

86353181925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 86353181925120 in words is "eighty-six trillion, three hundred fifty-three billion, one hundred eighty-one million, nine hundred twenty-five thousand, one hundred twenty".