9601849071360 has 2880 divisors, whose sum is σ = 46071119001600. Its totient is φ = 1852074491904.

The previous prime is 9601849071349. The next prime is 9601849071427. The reversal of 9601849071360 is 631709481069.

9601849071360 is a `hidden beast` number, since 9 + 6 + 0 + 18 + 490 + 7 + 136 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9601849071297 and 9601849071306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5198617957 + ... + 5198619803.

It is an arithmetic number, because the mean of its divisors is an integer number (15996916320).

Almost surely, 2^{9601849071360} is an apocalyptic number.

9601849071360 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 9601849071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23035559500800).

9601849071360 is an abundant number, since it is smaller than the sum of its proper divisors (36469269930240).

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

9601849071360 is a wasteful number, since it uses less digits than its factorization.

9601849071360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 9601849071360 in words is "nine trillion, six hundred one billion, eight hundred forty-nine million, seventy-one thousand, three hundred sixty".