86645770200 has 384 divisors, whose sum is σ = 339738969600. Its totient is φ = 20091456000.

The previous prime is 86645770181. The next prime is 86645770247. The reversal of 86645770200 is 207754668.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1334490 + ... + 1397910.

It is an arithmetic number, because the mean of its divisors is an integer number (884736900).

Almost surely, 2^86645770200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86645770200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169869484800).

86645770200 is an abundant number, since it is smaller than the sum of its proper divisors (253093199400).

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

86645770200 is a wasteful number, since it uses less digits than its factorization.

86645770200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63480 (or 63465 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 86645770200 in words is "eighty-six billion, six hundred forty-five million, seven hundred seventy thousand, two hundred".