57946416000 has 512 divisors, whose sum is σ = 211520125440. Its totient is φ = 14032128000.

The previous prime is 57946415999. The next prime is 57946416013. The reversal of 57946416000 is 61464975.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63887547 + ... + 63888453.

It is an arithmetic number, because the mean of its divisors is an integer number (413125245).

Almost surely, 2^57946416000 is an apocalyptic number.

57946416000 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 57946416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105760062720).

57946416000 is an abundant number, since it is smaller than the sum of its proper divisors (153573709440).

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

57946416000 is an equidigital number, since it uses as much as digits as its factorization.

57946416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 57946416000 in words is "fifty-seven billion, nine hundred forty-six million, four hundred sixteen thousand".