557771725020 has 192 divisors, whose sum is σ = 1671484792320. Its totient is φ = 138570743808.

The previous prime is 557771725003. The next prime is 557771725033. The reversal of 557771725020 is 20527177755.

It is a happy number.

It is a super-2 number, since 2×557771725020² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 16694572 + ... + 16727948.

It is an arithmetic number, because the mean of its divisors is an integer number (8705649960).

Almost surely, 2^557771725020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557771725020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835742396160).

557771725020 is an abundant number, since it is smaller than the sum of its proper divisors (1113713067300).

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

557771725020 is a wasteful number, since it uses less digits than its factorization.

557771725020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33652 (or 33650 counting only the distinct ones).

The product of its (nonzero) digits is 1200500, while the sum is 48.

The spelling of 557771725020 in words is "five hundred fifty-seven billion, seven hundred seventy-one million, seven hundred twenty-five thousand, twenty".