8500913612100 has 1440 divisors, whose sum is σ = 36148092624000. Its totient is φ = 1698879329280.

The previous prime is 8500913612077. The next prime is 8500913612161. The reversal of 8500913612100 is 12163190058.

8500913612100 is a `hidden beast` number, since 8 + 500 + 9 + 1 + 36 + 12 + 100 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1601224246 + ... + 1601229554.

It is an arithmetic number, because the mean of its divisors is an integer number (25102842100).

Almost surely, 2^{8500913612100} 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 8500913612100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18074046312000).

8500913612100 is an abundant number, since it is smaller than the sum of its proper divisors (27647179011900).

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

8500913612100 is a wasteful number, since it uses less digits than its factorization.

8500913612100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392 (or 5358 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 8500913612100 in words is "eight trillion, five hundred billion, nine hundred thirteen million, six hundred twelve thousand, one hundred".