56061252727200 has 1440 divisors, whose sum is σ = 246172658941440. Its totient is φ = 12128507136000.

The previous prime is 56061252727163. The next prime is 56061252727217. The reversal of 56061252727200 is 272725216065.

56061252727200 is a `hidden beast` number, since 5 + 6 + 0 + 612 + 5 + 2 + 7 + 2 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12505296159 + ... + 12505300641.

It is an arithmetic number, because the mean of its divisors is an integer number (170953235376).

Almost surely, 2^{56061252727200} is an apocalyptic number.

56061252727200 is a gapful number since it is divisible by the number (50) 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 56061252727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123086329470720).

56061252727200 is an abundant number, since it is smaller than the sum of its proper divisors (190111406214240).

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

56061252727200 is a wasteful number, since it uses less digits than its factorization.

56061252727200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5992 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 56061252727200 in words is "fifty-six trillion, sixty-one billion, two hundred fifty-two million, seven hundred twenty-seven thousand, two hundred".