86602744166400 has 3456 divisors, whose sum is σ = 410611219200000. Its totient is φ = 17500255027200.

The previous prime is 86602744166297. The next prime is 86602744166431. The reversal of 86602744166400 is 466144720668.

It is a happy number.

86602744166400 is a `hidden beast` number, since 8 + 6 + 6 + 0 + 2 + 74 + 4 + 166 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 43323032601 + ... + 43323034599.

Almost surely, 2^{86602744166400} is an apocalyptic number.

86602744166400 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 86602744166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205305609600000).

86602744166400 is an abundant number, since it is smaller than the sum of its proper divisors (324008475033600).

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

86602744166400 is a wasteful number, since it uses less digits than its factorization.

86602744166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 86602744166400 in words is "eighty-six trillion, six hundred two billion, seven hundred forty-four million, one hundred sixty-six thousand, four hundred".