86641228800 has 1320 divisors, whose sum is σ = 377403654144. Its totient is φ = 19229736960.

The previous prime is 86641228669. The next prime is 86641228813. The reversal of 86641228800 is 882214668.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 682214337 + ... + 682214463.

Almost surely, 2^86641228800 is an apocalyptic number.

86641228800 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 86641228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188701827072).

86641228800 is an abundant number, since it is smaller than the sum of its proper divisors (290762425344).

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

86641228800 is a wasteful number, since it uses less digits than its factorization.

86641228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 86641228800 in words is "eighty-six billion, six hundred forty-one million, two hundred twenty-eight thousand, eight hundred".