57405830400 has 162 divisors, whose sum is σ = 205239005790. Its totient is φ = 15308206080.

The previous prime is 57405830381. The next prime is 57405830423. The reversal of 57405830400 is 403850475.

57405830400 is a `hidden beast` number, since 5 + 74 + 0 + 583 + 0 + 4 + 0 + 0 = 666.

57405830400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 19296543744 + 38109286656 = 138912^2 + 195216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 440715 + ... + 555914.

Almost surely, 2^57405830400 is an apocalyptic number.

57405830400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57405830400 is an abundant number, since it is smaller than the sum of its proper divisors (147833175390).

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

57405830400 is a wasteful number, since it uses less digits than its factorization.

57405830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996661 (or 996639 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 57405830400 in words is "fifty-seven billion, four hundred five million, eight hundred thirty thousand, four hundred".