57066051788928 has 2048 divisors, whose sum is σ = 218709098496000. Its totient is φ = 14424810946560.

The previous prime is 57066051788927. The next prime is 57066051788983. The reversal of 57066051788928 is 82988715066075.

57066051788928 is a `hidden beast` number, since 5 + 7 + 0 + 6 + 6 + 0 + 517 + 8 + 89 + 28 = 666.

It is a super-2 number, since 2×57066051788928² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (57066051788927) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 100291830628 + ... + 100291831196.

It is an arithmetic number, because the mean of its divisors is an integer number (106791552000).

Almost surely, 2^{57066051788928} 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 57066051788928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109354549248000).

57066051788928 is an abundant number, since it is smaller than the sum of its proper divisors (161643046707072).

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

57066051788928 is a wasteful number, since it uses less digits than its factorization.

57066051788928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 57066051788928 in words is "fifty-seven trillion, sixty-six billion, fifty-one million, seven hundred eighty-eight thousand, nine hundred twenty-eight".