557201103126210 has 192 divisors, whose sum is σ = 1466234402270976. Its totient is φ = 146797624512000.

The previous prime is 557201103126137. The next prime is 557201103126257. The reversal of 557201103126210 is 12621301102755.

557201103126210 is a `hidden beast` number, since 5 + 5 + 7 + 2 + 0 + 1 + 10 + 3 + 12 + 621 + 0 = 666.

It is a super-2 number, since 2×557201103126210² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7889984700 + ... + 7890055320.

It is an arithmetic number, because the mean of its divisors is an integer number (7636637511828).

Almost surely, 2^{557201103126210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557201103126210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733117201135488).

557201103126210 is an abundant number, since it is smaller than the sum of its proper divisors (909033299144766).

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

557201103126210 is a wasteful number, since it uses less digits than its factorization.

557201103126210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72601 (or 72598 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Adding to 557201103126210 its reverse (12621301102755), we get a palindrome (569822404228965).

The spelling of 557201103126210 in words is "five hundred fifty-seven trillion, two hundred one billion, one hundred three million, one hundred twenty-six thousand, two hundred ten".