8721517212000 has 1920 divisors, whose sum is σ = 34186966894080. Its totient is φ = 2174791680000.

The previous prime is 8721517211971. The next prime is 8721517212013. The reversal of 8721517212000 is 2127151278.

8721517212000 is a `hidden beast` number, since 87 + 21 + 517 + 21 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 38085227886 + ... + 38085228114.

It is an arithmetic number, because the mean of its divisors is an integer number (17805711924).

Almost surely, 2^{8721517212000} is an apocalyptic number.

8721517212000 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 8721517212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093483447040).

8721517212000 is an abundant number, since it is smaller than the sum of its proper divisors (25465449682080).

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

8721517212000 is a wasteful number, since it uses less digits than its factorization.

8721517212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 8721517212000 in words is "eight trillion, seven hundred twenty-one billion, five hundred seventeen million, two hundred twelve thousand".