57975404032000 has 624 divisors, whose sum is σ = 179059025500992. Its totient is φ = 18348068044800.

The previous prime is 57975404031991. The next prime is 57975404032027. The reversal of 57975404032000 is 23040457975.

It is a super-2 number, since 2×57975404032000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605648142 + ... + 605743858.

It is an arithmetic number, because the mean of its divisors is an integer number (286953566508).

Almost surely, 2^{57975404032000} is an apocalyptic number.

57975404032000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57975404032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89529512750496).

57975404032000 is an abundant number, since it is smaller than the sum of its proper divisors (121083621468992).

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

57975404032000 is an equidigital number, since it uses as much as digits as its factorization.

57975404032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95789 (or 95744 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 46.

Adding to 57975404032000 its reverse (23040457975), we get a palindrome (57998444489975).

The spelling of 57975404032000 in words is "fifty-seven trillion, nine hundred seventy-five billion, four hundred four million, thirty-two thousand".