6053625849600 has 2160 divisors, whose sum is σ = 26276493196800. Its totient is φ = 1346678784000.

The previous prime is 6053625849571. The next prime is 6053625849617. The reversal of 6053625849600 is 69485263506.

6053625849600 is a `hidden beast` number, since 6 + 0 + 5 + 3 + 6 + 25 + 8 + 4 + 9 + 600 = 666.

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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 30420230301 + ... + 30420230499.

Almost surely, 2^{6053625849600} is an apocalyptic number.

6053625849600 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 6053625849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13138246598400).

6053625849600 is an abundant number, since it is smaller than the sum of its proper divisors (20222867347200).

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

6053625849600 is a wasteful number, since it uses less digits than its factorization.

6053625849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 6053625849600 in words is "six trillion, fifty-three billion, six hundred twenty-five million, eight hundred forty-nine thousand, six hundred".