57938648400 has 360 divisors, whose sum is σ = 206596241280. Its totient is φ = 15029237760.

The previous prime is 57938648399. The next prime is 57938648401. The reversal of 57938648400 is 484683975.

57938648400 is a `hidden beast` number, since 579 + 3 + 8 + 64 + 8 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57938648399) and next prime (57938648401).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57938648401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30285844 + ... + 30287756.

It is an arithmetic number, because the mean of its divisors is an integer number (573878448).

Almost surely, 2^57938648400 is an apocalyptic number.

57938648400 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 57938648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103298120640).

57938648400 is an abundant number, since it is smaller than the sum of its proper divisors (148657592880).

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

57938648400 is a wasteful number, since it uses less digits than its factorization.

57938648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 57938648400 in words is "fifty-seven billion, nine hundred thirty-eight million, six hundred forty-eight thousand, four hundred".