6161082359040 has 2304 divisors, whose sum is σ = 26541289635840. Its totient is φ = 1324343623680.

The previous prime is 6161082359009. The next prime is 6161082359051. The reversal of 6161082359040 is 409532801616.

6161082359040 is a `hidden beast` number, since 6 + 1 + 6 + 10 + 8 + 2 + 3 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48512459457 + ... + 48512459583.

It is an arithmetic number, because the mean of its divisors is an integer number (11519656960).

Almost surely, 2^{6161082359040} is an apocalyptic number.

6161082359040 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 6161082359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13270644817920).

6161082359040 is an abundant number, since it is smaller than the sum of its proper divisors (20380207276800).

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

6161082359040 is a wasteful number, since it uses less digits than its factorization.

6161082359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 6161082359040 in words is "six trillion, one hundred sixty-one billion, eighty-two million, three hundred fifty-nine thousand, forty".