9785689849152 has 560 divisors, whose sum is σ = 35155286039808. Its totient is φ = 2627446947840.

The previous prime is 9785689849139. The next prime is 9785689849213. The reversal of 9785689849152 is 2519489865879.

9785689849152 is a `hidden beast` number, since 9 + 7 + 8 + 568 + 9 + 8 + 49 + 1 + 5 + 2 = 666.

It is a super-3 number, since 3×9785689849152³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 417626877 + ... + 417650307.

Almost surely, 2^{9785689849152} 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 9785689849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17577643019904).

9785689849152 is an abundant number, since it is smaller than the sum of its proper divisors (25369596190656).

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

9785689849152 is a wasteful number, since it uses less digits than its factorization.

9785689849152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24156 (or 24137 counting only the distinct ones).

The product of its digits is 3135283200, while the sum is 81.

The spelling of 9785689849152 in words is "nine trillion, seven hundred eighty-five billion, six hundred eighty-nine million, eight hundred forty-nine thousand, one hundred fifty-two".