6048590371200 has 2304 divisors, whose sum is σ = 25985036226240. Its totient is φ = 1375941427200.

The previous prime is 6048590371199. The next prime is 6048590371211. The reversal of 6048590371200 is 21730958406.

6048590371200 is a `hidden beast` number, since 6 + 0 + 4 + 8 + 590 + 37 + 1 + 20 + 0 = 666.

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 10482825312 + ... + 10482825888.

It is a 1-persistent number, because it is pandigital, but 2⋅6048590371200 = 12097180742400 is not.

Almost surely, 2^{6048590371200} is an apocalyptic number.

6048590371200 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 6048590371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12992518113120).

6048590371200 is an abundant number, since it is smaller than the sum of its proper divisors (19936445855040).

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

6048590371200 is a wasteful number, since it uses less digits than its factorization.

6048590371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 6048590371200 in words is "six trillion, forty-eight billion, five hundred ninety million, three hundred seventy-one thousand, two hundred".