8741160489600 has 5760 divisors, whose sum is σ = 44750660328000. Its totient is φ = 1655429529600.

The previous prime is 8741160489599. The next prime is 8741160489617. The reversal of 8741160489600 is 69840611478.

8741160489600 is a `hidden beast` number, since 8 + 7 + 41 + 1 + 60 + 489 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×8741160489600² (a number of 27 digits) contains 22 as substring.

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

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 719 ways as a sum of consecutive naturals, for example, 98215286356 + ... + 98215286444.

Almost surely, 2^{8741160489600} is an apocalyptic number.

8741160489600 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 8741160489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22375330164000).

8741160489600 is an abundant number, since it is smaller than the sum of its proper divisors (36009499838400).

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

8741160489600 is a wasteful number, since it uses less digits than its factorization.

8741160489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 8741160489600 in words is "eight trillion, seven hundred forty-one billion, one hundred sixty million, four hundred eighty-nine thousand, six hundred".