6052529280000 has 1760 divisors, whose sum is σ = 24228724326400. Its totient is φ = 1313832960000.

The previous prime is 6052529279987. The next prime is 6052529280013. The reversal of 6052529280000 is 829252506.

It is an interprime number because it is at equal distance from previous prime (6052529279987) and next prime (6052529280013).

It is a super-2 number, since 2×6052529280000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 30414719901 + ... + 30414720099.

It is an arithmetic number, because the mean of its divisors is an integer number (13766320640).

Almost surely, 2^{6052529280000} is an apocalyptic number.

6052529280000 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 6052529280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12114362163200).

6052529280000 is an abundant number, since it is smaller than the sum of its proper divisors (18176195046400).

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

6052529280000 is a wasteful number, since it uses less digits than its factorization.

6052529280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 6052529280000 in words is "six trillion, fifty-two billion, five hundred twenty-nine million, two hundred eighty thousand".