6181689260160 has 640 divisors, whose sum is σ = 22673507947200. Its totient is φ = 1604385792000.

The previous prime is 6181689260081. The next prime is 6181689260171. The reversal of 6181689260160 is 610629861816.

6181689260160 is a `hidden beast` number, since 6 + 18 + 16 + 8 + 9 + 2 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 6181689260097 and 6181689260106.

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 79 ways as a sum of consecutive naturals, for example, 308904555 + ... + 308924565.

Almost surely, 2^{6181689260160} is an apocalyptic number.

6181689260160 is a gapful number since it is divisible by the number (60) 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 6181689260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11336753973600).

6181689260160 is an abundant number, since it is smaller than the sum of its proper divisors (16491818687040).

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

6181689260160 is a wasteful number, since it uses less digits than its factorization.

6181689260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20202 (or 20181 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 6181689260160 in words is "six trillion, one hundred eighty-one billion, six hundred eighty-nine million, two hundred sixty thousand, one hundred sixty".