6128561275200 has 2016 divisors, whose sum is σ = 27375955326720. Its totient is φ = 1266057216000.

The previous prime is 6128561275163. The next prime is 6128561275201. The reversal of 6128561275200 is 25721658216.

6128561275200 is a `hidden beast` number, since 6 + 1 + 2 + 8 + 5 + 612 + 7 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6128561275201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15283195000 + ... + 15283195400.

It is an arithmetic number, because the mean of its divisors is an integer number (13579342920).

Almost surely, 2^{6128561275200} is an apocalyptic number.

6128561275200 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 6128561275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13687977663360).

6128561275200 is an abundant number, since it is smaller than the sum of its proper divisors (21247394051520).

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

6128561275200 is a wasteful number, since it uses less digits than its factorization.

6128561275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 6128561275200 in words is "six trillion, one hundred twenty-eight billion, five hundred sixty-one million, two hundred seventy-five thousand, two hundred".