86823767100 has 288 divisors, whose sum is σ = 295887062016. Its totient is φ = 19241625600.

The previous prime is 86823767083. The next prime is 86823767113. The reversal of 86823767100 is 176732868.

It is a self number, because there is not a number n which added to its sum of digits gives 86823767100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24162904 + ... + 24166496.

It is an arithmetic number, because the mean of its divisors is an integer number (1027385632).

Almost surely, 2^86823767100 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 86823767100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147943531008).

86823767100 is an abundant number, since it is smaller than the sum of its proper divisors (209063294916).

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

86823767100 is a wasteful number, since it uses less digits than its factorization.

86823767100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 86823767100 in words is "eighty-six billion, eight hundred twenty-three million, seven hundred sixty-seven thousand, one hundred".