57134246400 has 1920 divisors, whose sum is σ = 277653657600. Its totient is φ = 11147673600.

The previous prime is 57134246399. The next prime is 57134246447. The reversal of 57134246400 is 464243175.

57134246400 is a `hidden beast` number, since 5 + 7 + 1 + 3 + 4 + 2 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×57134246400² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 505612744 + ... + 505612856.

It is an arithmetic number, because the mean of its divisors is an integer number (144611280).

Almost surely, 2^57134246400 is an apocalyptic number.

57134246400 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 57134246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138826828800).

57134246400 is an abundant number, since it is smaller than the sum of its proper divisors (220519411200).

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

57134246400 is a wasteful number, since it uses less digits than its factorization.

57134246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 57134246400 its reverse (464243175), we get a palindrome (57598489575).

The spelling of 57134246400 in words is "fifty-seven billion, one hundred thirty-four million, two hundred forty-six thousand, four hundred".