6058726212240 has 2160 divisors, whose sum is σ = 25098330479040. Its totient is φ = 1353770496000.

The previous prime is 6058726212233. The next prime is 6058726212247. The reversal of 6058726212240 is 422126278506.

6058726212240 is a `hidden beast` number, since 6 + 0 + 587 + 2 + 6 + 2 + 1 + 22 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (6058726212233) and next prime (6058726212247).

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is not an unprimeable number, because it can be changed into a prime (6058726212247) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 59987388190 + ... + 59987388290.

It is an arithmetic number, because the mean of its divisors is an integer number (11619597444).

Almost surely, 2^{6058726212240} is an apocalyptic number.

6058726212240 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 6058726212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12549165239520).

6058726212240 is an abundant number, since it is smaller than the sum of its proper divisors (19039604266800).

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

6058726212240 is a wasteful number, since it uses less digits than its factorization.

6058726212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 6058726212240 in words is "six trillion, fifty-eight billion, seven hundred twenty-six million, two hundred twelve thousand, two hundred forty".