57975442000 has 160 divisors (see below), whose sum is σ = 160885131264. Its totient is φ = 19793664000.

The previous prime is 57975441917. The next prime is 57975442013. The reversal of 57975442000 is 24457975.

It is a super-2 number, since 2×57975442000² (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3365409 + ... + 3382591.

Almost surely, 2^57975442000 is an apocalyptic number.

57975442000 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 57975442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80442565632).

57975442000 is an abundant number, since it is smaller than the sum of its proper divisors (102909689264).

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

57975442000 is a wasteful number, since it uses less digits than its factorization.

57975442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17454 (or 17438 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

Adding to 57975442000 its reverse (24457975), we get a palindrome (57999899975).

The spelling of 57975442000 in words is "fifty-seven billion, nine hundred seventy-five million, four hundred forty-two thousand".