57408478400 has 1008 divisors, whose sum is σ = 193027645440. Its totient is φ = 16605388800.

The previous prime is 57408478367. The next prime is 57408478411. The reversal of 57408478400 is 487480475.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 726689561 + ... + 726689639.

It is an arithmetic number, because the mean of its divisors is an integer number (191495680).

Almost surely, 2^57408478400 is an apocalyptic number.

57408478400 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 57408478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96513822720).

57408478400 is an abundant number, since it is smaller than the sum of its proper divisors (135619167040).

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

57408478400 is a wasteful number, since it uses less digits than its factorization.

57408478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 47.

The spelling of 57408478400 in words is "fifty-seven billion, four hundred eight million, four hundred seventy-eight thousand, four hundred".