57466115011200 has 768 divisors, whose sum is σ = 227447112096000. Its totient is φ = 12474246758400.

The previous prime is 57466115011199. The next prime is 57466115011339. The reversal of 57466115011200 is 211051166475.

57466115011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57466115011200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118635096 + ... + 119118504.

It is an arithmetic number, because the mean of its divisors is an integer number (296155093875).

Almost surely, 2^{57466115011200} is an apocalyptic number.

57466115011200 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 57466115011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113723556048000).

57466115011200 is an abundant number, since it is smaller than the sum of its proper divisors (169980997084800).

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

57466115011200 is a wasteful number, since it uses less digits than its factorization.

57466115011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483533 (or 483516 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

Adding to 57466115011200 its reverse (211051166475), we get a palindrome (57677166177675).

The spelling of 57466115011200 in words is "fifty-seven trillion, four hundred sixty-six billion, one hundred fifteen million, eleven thousand, two hundred".