57430425600 has 540 divisors, whose sum is σ = 213711354584. Its totient is φ = 15288238080.

The previous prime is 57430425553. The next prime is 57430425617. The reversal of 57430425600 is 652403475.

57430425600 is a `hidden beast` number, since 5 + 7 + 4 + 3 + 0 + 42 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 35 ways as a sum of consecutive naturals, for example, 99532512 + ... + 99533088.

Almost surely, 2^57430425600 is an apocalyptic number.

57430425600 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 57430425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106855677292).

57430425600 is an abundant number, since it is smaller than the sum of its proper divisors (156280928984).

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

57430425600 is an frugal number, since it uses more digits than its factorization.

57430425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 57430425600 in words is "fifty-seven billion, four hundred thirty million, four hundred twenty-five thousand, six hundred".