6058621981440 has 4320 divisors, whose sum is σ = 28775751681600. Its totient is φ = 1206921461760.

The previous prime is 6058621981439. The next prime is 6058621981453. The reversal of 6058621981440 is 441891268506.

6058621981440 is a `hidden beast` number, since 6 + 0 + 5 + 8 + 6 + 2 + 198 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 102688508131 + ... + 102688508189.

It is an arithmetic number, because the mean of its divisors is an integer number (6661053630).

Almost surely, 2^{6058621981440} is an apocalyptic number.

6058621981440 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 6058621981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14387875840800).

6058621981440 is an abundant number, since it is smaller than the sum of its proper divisors (22717129700160).

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

6058621981440 is a wasteful number, since it uses less digits than its factorization.

6058621981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 6058621981440 in words is "six trillion, fifty-eight billion, six hundred twenty-one million, nine hundred eighty-one thousand, four hundred forty".