9869785191360 has 224 divisors, whose sum is σ = 34888200480000. Its totient is φ = 2626667136000.

The previous prime is 9869785191349. The next prime is 9869785191389. The reversal of 9869785191360 is 631915879689.

9869785191360 is a `hidden beast` number, since 9 + 8 + 6 + 9 + 78 + 5 + 191 + 360 = 666.

9869785191360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3166735 + ... + 5455985.

It is an arithmetic number, because the mean of its divisors is an integer number (155750895000).

Almost surely, 2^{9869785191360} is an apocalyptic number.

9869785191360 is a gapful number since it is divisible by the number (90) 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 9869785191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17444100240000).

9869785191360 is an abundant number, since it is smaller than the sum of its proper divisors (25018415288640).

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

9869785191360 is a wasteful number, since it uses less digits than its factorization.

9869785191360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289776 (or 2289760 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 9869785191360 in words is "nine trillion, eight hundred sixty-nine billion, seven hundred eighty-five million, one hundred ninety-one thousand, three hundred sixty".