86869411200 has 1536 divisors, whose sum is σ = 382475520000. Its totient is φ = 18977587200.

The previous prime is 86869411169. The next prime is 86869411241. The reversal of 86869411200 is 211496868.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 976060756 + ... + 976060844.

It is an arithmetic number, because the mean of its divisors is an integer number (249007500).

Almost surely, 2^86869411200 is an apocalyptic number.

86869411200 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 86869411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191237760000).

86869411200 is an abundant number, since it is smaller than the sum of its proper divisors (295606108800).

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

86869411200 is a wasteful number, since it uses less digits than its factorization.

86869411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 86869411200 in words is "eighty-six billion, eight hundred sixty-nine million, four hundred eleven thousand, two hundred".