57982171742208 has 1242 divisors, whose sum is σ = 207041121969396. Its totient is φ = 16181071183872.

The previous prime is 57982171742167. The next prime is 57982171742221. The reversal of 57982171742208 is 80224717128975.

57982171742208 is a `hidden beast` number, since 57 + 98 + 2 + 1 + 71 + 7 + 422 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1348422598635 + ... + 1348422598677.

Almost surely, 2^{57982171742208} 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 57982171742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103520560984698).

57982171742208 is an abundant number, since it is smaller than the sum of its proper divisors (149058950227188).

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

57982171742208 is an frugal number, since it uses more digits than its factorization.

57982171742208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 57982171742208 in words is "fifty-seven trillion, nine hundred eighty-two billion, one hundred seventy-one million, seven hundred forty-two thousand, two hundred eight".