9800131600512 has 512 divisors, whose sum is σ = 31979888640000. Its totient is φ = 2929754234880.

The previous prime is 9800131600481. The next prime is 9800131600541. The reversal of 9800131600512 is 2150061310089.

9800131600512 is a `hidden beast` number, since 9 + 8 + 0 + 0 + 1 + 31 + 600 + 5 + 12 = 666.

It is a super-3 number, since 3×9800131600512³ (a number of 40 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 1620657073 + ... + 1620663119.

It is an arithmetic number, because the mean of its divisors is an integer number (62460720000).

Almost surely, 2^{9800131600512} 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 9800131600512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15989944320000).

9800131600512 is an abundant number, since it is smaller than the sum of its proper divisors (22179757039488).

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

9800131600512 is a wasteful number, since it uses less digits than its factorization.

9800131600512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6649 (or 6631 counting only the distinct ones).

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

The spelling of 9800131600512 in words is "nine trillion, eight hundred billion, one hundred thirty-one million, six hundred thousand, five hundred twelve".