86673619200 has 864 divisors, whose sum is σ = 343370022912. Its totient is φ = 18837504000.

The previous prime is 86673619141. The next prime is 86673619217. The reversal of 86673619200 is 291637668.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 86673619200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 295814254 + ... + 295814546.

It is an arithmetic number, because the mean of its divisors is an integer number (397419008).

Almost surely, 2^86673619200 is an apocalyptic number.

86673619200 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 86673619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171685011456).

86673619200 is an abundant number, since it is smaller than the sum of its proper divisors (256696403712).

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

86673619200 is a wasteful number, since it uses less digits than its factorization.

86673619200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 86673619200 in words is "eighty-six billion, six hundred seventy-three million, six hundred nineteen thousand, two hundred".