8601016687200 has 4032 divisors, whose sum is σ = 40438411776000. Its totient is φ = 1777705574400.

The previous prime is 8601016687163. The next prime is 8601016687247. The reversal of 8601016687200 is 27866101068.

It is a happy number.

8601016687200 is a `hidden beast` number, since 8 + 601 + 0 + 16 + 6 + 8 + 7 + 20 + 0 = 666.

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 671 ways as a sum of consecutive naturals, for example, 117822146364 + ... + 117822146436.

It is an arithmetic number, because the mean of its divisors is an integer number (10029368000).

Almost surely, 2^{8601016687200} is an apocalyptic number.

8601016687200 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 8601016687200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20219205888000).

8601016687200 is an abundant number, since it is smaller than the sum of its proper divisors (31837395088800).

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

8601016687200 is a wasteful number, since it uses less digits than its factorization.

8601016687200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 8601016687200 in words is "eight trillion, six hundred one billion, sixteen million, six hundred eighty-seven thousand, two hundred".