868325173632000 has 9856 divisors, whose sum is σ = 4210249665822720. Its totient is φ = 174142586880000.

The previous prime is 868325173631983. The next prime is 868325173632017. The reversal of 868325173632000 is 236371523868.

It is a happy number.

868325173632000 is a `hidden beast` number, since 8 + 6 + 8 + 3 + 251 + 7 + 363 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (868325173631983) and next prime (868325173632017).

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 895 ways as a sum of consecutive naturals, for example, 14234838911970 + ... + 14234838912030.

Almost surely, 2^{868325173632000} is an apocalyptic number.

868325173632000 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 868325173632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105124832911360).

868325173632000 is an abundant number, since it is smaller than the sum of its proper divisors (3341924492190720).

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

868325173632000 is a wasteful number, since it uses less digits than its factorization.

868325173632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 868325173632000 in words is "eight hundred sixty-eight trillion, three hundred twenty-five billion, one hundred seventy-three million, six hundred thirty-two thousand".