57246210431400 has 192 divisors, whose sum is σ = 183211855833600. Its totient is φ = 14771281536000.

The previous prime is 57246210431363. The next prime is 57246210431407. The reversal of 57246210431400 is 413401264275.

It is a super-2 number, since 2×57246210431400² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57246210431407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 144677830 + ... + 145072970.

It is an arithmetic number, because the mean of its divisors is an integer number (954228415800).

Almost surely, 2^{57246210431400} is an apocalyptic number.

57246210431400 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 57246210431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91605927916800).

57246210431400 is an abundant number, since it is smaller than the sum of its proper divisors (125965645402200).

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

57246210431400 is a wasteful number, since it uses less digits than its factorization.

57246210431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402980 (or 402971 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

Adding to 57246210431400 its reverse (413401264275), we get a palindrome (57659611695675).

The spelling of 57246210431400 in words is "fifty-seven trillion, two hundred forty-six billion, two hundred ten million, four hundred thirty-one thousand, four hundred".