86169600000 has 1080 divisors, whose sum is σ = 359390028816. Its totient is φ = 19660800000.

The previous prime is 86169599963. The next prime is 86169600007. The reversal of 86169600000 is 696168.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86169600007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5068799992 + ... + 5068800008.

Almost surely, 2^86169600000 is an apocalyptic number.

86169600000 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 86169600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179695014408).

86169600000 is an abundant number, since it is smaller than the sum of its proper divisors (273220428816).

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

86169600000 is an equidigital number, since it uses as much as digits as its factorization.

86169600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 86169600000 in words is "eighty-six billion, one hundred sixty-nine million, six hundred thousand".