55576727712 has 288 divisors, whose sum is σ = 176688884736. Its totient is φ = 16427673600.

The previous prime is 55576727699. The next prime is 55576727719. The reversal of 55576727712 is 21772767555.

55576727712 is a `hidden beast` number, since 5 + 557 + 6 + 7 + 2 + 77 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (55576727719) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 32068798 + ... + 32070530.

It is an arithmetic number, because the mean of its divisors is an integer number (613503072).

Almost surely, 2^55576727712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55576727712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88344442368).

55576727712 is an abundant number, since it is smaller than the sum of its proper divisors (121112157024).

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

55576727712 is a wasteful number, since it uses less digits than its factorization.

55576727712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1993 counting only the distinct ones).

The product of its digits is 7203000, while the sum is 54.

The spelling of 55576727712 in words is "fifty-five billion, five hundred seventy-six million, seven hundred twenty-seven thousand, seven hundred twelve".