86120809113600 has 720 divisors, whose sum is σ = 319669177988160. Its totient is φ = 22915436544000.

The previous prime is 86120809113593. The next prime is 86120809113659. The reversal of 86120809113600 is 631190802168.

86120809113600 is a `hidden beast` number, since 8 + 6 + 1 + 20 + 8 + 0 + 9 + 1 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×86120809113600² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1920131175 + ... + 1920176025.

It is an arithmetic number, because the mean of its divisors is an integer number (443984969428).

Almost surely, 2^{86120809113600} is an apocalyptic number.

86120809113600 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 86120809113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159834588994080).

86120809113600 is an abundant number, since it is smaller than the sum of its proper divisors (233548368874560).

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

86120809113600 is a wasteful number, since it uses less digits than its factorization.

86120809113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45358 (or 45324 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

Adding to 86120809113600 its reverse (631190802168), we get a palindrome (86751999915768).

The spelling of 86120809113600 in words is "eighty-six trillion, one hundred twenty billion, eight hundred nine million, one hundred thirteen thousand, six hundred".