57147058725120 has 4320 divisors, whose sum is σ = 263958022944000. Its totient is φ = 11551346786304.

The previous prime is 57147058725059. The next prime is 57147058725137. The reversal of 57147058725120 is 2152785074175.

57147058725120 is a `hidden beast` number, since 5 + 7 + 1 + 4 + 7 + 0 + 58 + 72 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 479 ways as a sum of consecutive naturals, for example, 383537306806 + ... + 383537306954.

It is an arithmetic number, because the mean of its divisors is an integer number (61101394200).

Almost surely, 2^{57147058725120} 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 57147058725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131979011472000).

57147058725120 is an abundant number, since it is smaller than the sum of its proper divisors (206810964218880).

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

57147058725120 is a wasteful number, since it uses less digits than its factorization.

57147058725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 5488000, while the sum is 54.

The spelling of 57147058725120 in words is "fifty-seven trillion, one hundred forty-seven billion, fifty-eight million, seven hundred twenty-five thousand, one hundred twenty".