6039853223040 has 2048 divisors, whose sum is σ = 26946017280000. Its totient is φ = 1244812935168.

The previous prime is 6039853223039. The next prime is 6039853223051. The reversal of 6039853223040 is 403223589306.

6039853223040 is a `hidden beast` number, since 6 + 0 + 3 + 98 + 532 + 23 + 0 + 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 255 ways as a sum of consecutive naturals, for example, 14414923951 + ... + 14414924369.

It is an arithmetic number, because the mean of its divisors is an integer number (13157235000).

Almost surely, 2^{6039853223040} is an apocalyptic number.

6039853223040 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 6039853223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13473008640000).

6039853223040 is an abundant number, since it is smaller than the sum of its proper divisors (20906164056960).

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

6039853223040 is a wasteful number, since it uses less digits than its factorization.

6039853223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 6039853223040 in words is "six trillion, thirty-nine billion, eight hundred fifty-three million, two hundred twenty-three thousand, forty".