6039165162240 has 864 divisors, whose sum is σ = 24822414489600. Its totient is φ = 1326356398080.

The previous prime is 6039165162227. The next prime is 6039165162259. The reversal of 6039165162240 is 422615619306.

6039165162240 is a `hidden beast` number, since 6 + 0 + 3 + 9 + 16 + 5 + 1 + 622 + 4 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 493430041 + ... + 493442279.

It is an arithmetic number, because the mean of its divisors is an integer number (28729646400).

Almost surely, 2^{6039165162240} is an apocalyptic number.

6039165162240 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 6039165162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12411207244800).

6039165162240 is an abundant number, since it is smaller than the sum of its proper divisors (18783249327360).

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

6039165162240 is a wasteful number, since it uses less digits than its factorization.

6039165162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12513 (or 12496 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 6039165162240 in words is "six trillion, thirty-nine billion, one hundred sixty-five million, one hundred sixty-two thousand, two hundred forty".