6051365179440 has 320 divisors, whose sum is σ = 22048950681600. Its totient is φ = 1372275717120.

The previous prime is 6051365179417. The next prime is 6051365179487. The reversal of 6051365179440 is 449715631506.

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 63 ways as a sum of consecutive naturals, for example, 10165230 + ... + 10744050.

It is an arithmetic number, because the mean of its divisors is an integer number (68902970880).

Almost surely, 2^{6051365179440} is an apocalyptic number.

6051365179440 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 6051365179440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11024475340800).

6051365179440 is an abundant number, since it is smaller than the sum of its proper divisors (15997585502160).

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

6051365179440 is a wasteful number, since it uses less digits than its factorization.

6051365179440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578985 (or 578965 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 6051365179440 in words is "six trillion, fifty-one billion, three hundred sixty-five million, one hundred seventy-nine thousand, four hundred forty".