86722423200 has 1152 divisors, whose sum is σ = 371641213440. Its totient is φ = 19349176320.

The previous prime is 86722423199. The next prime is 86722423253. The reversal of 86722423200 is 232422768.

It is a happy number.

86722423200 is a `hidden beast` number, since 8 + 6 + 7 + 22 + 423 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 894045552 + ... + 894045648.

It is an arithmetic number, because the mean of its divisors is an integer number (322605220).

Almost surely, 2^86722423200 is an apocalyptic number.

86722423200 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 86722423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185820606720).

86722423200 is an abundant number, since it is smaller than the sum of its proper divisors (284918790240).

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

86722423200 is an equidigital number, since it uses as much as digits as its factorization.

86722423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 86722423200 its reverse (232422768), we get a palindrome (86954845968).

The spelling of 86722423200 in words is "eighty-six billion, seven hundred twenty-two million, four hundred twenty-three thousand, two hundred".