8135898618000 has 320 divisors, whose sum is σ = 26602166852352. Its totient is φ = 2138829926400.

The previous prime is 8135898617989. The next prime is 8135898618079. The reversal of 8135898618000 is 8168985318.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1477371247 + ... + 1477376753.

Almost surely, 2^{8135898618000} is an apocalyptic number.

8135898618000 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 8135898618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13301083426176).

8135898618000 is an abundant number, since it is smaller than the sum of its proper divisors (18466268234352).

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

8135898618000 is a wasteful number, since it uses less digits than its factorization.

8135898618000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8979 (or 8963 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 57.

The spelling of 8135898618000 in words is "eight trillion, one hundred thirty-five billion, eight hundred ninety-eight million, six hundred eighteen thousand".