57827929199040 has 4704 divisors, whose sum is σ = 285842809405440. Its totient is φ = 10833209671680.

The previous prime is 57827929199021. The next prime is 57827929199081. The reversal of 57827929199040 is 4099192972875.

It is a happy number.

57827929199040 is a `hidden beast` number, since 578 + 2 + 7 + 9 + 2 + 9 + 1 + 9 + 9 + 0 + 40 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57827929199040.

It is a congruent number.

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 671 ways as a sum of consecutive naturals, for example, 120726365521 + ... + 120726365999.

It is an arithmetic number, because the mean of its divisors is an integer number (60765903360).

Almost surely, 2^{57827929199040} 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 57827929199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142921404702720).

57827929199040 is an abundant number, since it is smaller than the sum of its proper divisors (228014880206400).

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

57827929199040 is a wasteful number, since it uses less digits than its factorization.

57827929199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 57827929199040 in words is "fifty-seven trillion, eight hundred twenty-seven billion, nine hundred twenty-nine million, one hundred ninety-nine thousand, forty".