57893144400 has 1440 divisors, whose sum is σ = 265962977280. Its totient is φ = 11321856000.

The previous prime is 57893144303. The next prime is 57893144431. The reversal of 57893144400 is 444139875.

57893144400 is a `hidden beast` number, since 578 + 9 + 31 + 4 + 4 + 40 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 441932335 + ... + 441932465.

It is an arithmetic number, because the mean of its divisors is an integer number (184696512).

Almost surely, 2^57893144400 is an apocalyptic number.

57893144400 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 57893144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132981488640).

57893144400 is an abundant number, since it is smaller than the sum of its proper divisors (208069832880).

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

57893144400 is a wasteful number, since it uses less digits than its factorization.

57893144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 57893144400 in words is "fifty-seven billion, eight hundred ninety-three million, one hundred forty-four thousand, four hundred".