6056745937200 has 2160 divisors, whose sum is σ = 26343431412480. Its totient is φ = 1308644812800.

The previous prime is 6056745937199. The next prime is 6056745937213. The reversal of 6056745937200 is 27395476506.

6056745937200 is a `hidden beast` number, since 6 + 0 + 567 + 4 + 5 + 9 + 3 + 72 + 0 + 0 = 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 an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 38577999522 + ... + 38577999678.

Almost surely, 2^{6056745937200} is an apocalyptic number.

6056745937200 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 6056745937200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171715706240).

6056745937200 is an abundant number, since it is smaller than the sum of its proper divisors (20286685475280).

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

6056745937200 is a wasteful number, since it uses less digits than its factorization.

6056745937200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 6056745937200 in words is "six trillion, fifty-six billion, seven hundred forty-five million, nine hundred thirty-seven thousand, two hundred".