57968640000 has 900 divisors, whose sum is σ = 227555412084. Its totient is φ = 14155776000.

The previous prime is 57968639957. The next prime is 57968640013. The reversal of 57968640000 is 4686975.

It can be written as a sum of positive squares in 10 ways, for example, as 23711072256 + 34257567744 = 153984^2 + 185088^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1566719982 + ... + 1566720018.

Almost surely, 2^57968640000 is an apocalyptic number.

57968640000 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 57968640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113777706042).

57968640000 is an abundant number, since it is smaller than the sum of its proper divisors (169586772084).

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

57968640000 is an equidigital number, since it uses as much as digits as its factorization.

57968640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 57968640000 in words is "fifty-seven billion, nine hundred sixty-eight million, six hundred forty thousand".