6027105399840 has 288 divisors, whose sum is σ = 24376294051200. Its totient is φ = 1377624029184.

The previous prime is 6027105399827. The next prime is 6027105399893. The reversal of 6027105399840 is 489935017206.

6027105399840 is a `hidden beast` number, since 6 + 0 + 2 + 7 + 10 + 539 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10800565 + ... + 11344884.

It is an arithmetic number, because the mean of its divisors is an integer number (84639909900).

It is a 1-persistent number, because it is pandigital, but 2⋅6027105399840 = 12054210799680 is not.

Almost surely, 2^{6027105399840} is an apocalyptic number.

6027105399840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6027105399840 is an abundant number, since it is smaller than the sum of its proper divisors (18349188651360).

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

6027105399840 is a wasteful number, since it uses less digits than its factorization.

6027105399840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22145486 (or 22145466 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 6027105399840 in words is "six trillion, twenty-seven billion, one hundred five million, three hundred ninety-nine thousand, eight hundred forty".