557838488051712 has 448 divisors, whose sum is σ = 1949792783769600. Its totient is φ = 154241043333120.

The previous prime is 557838488051659. The next prime is 557838488051717. The reversal of 557838488051712 is 217150884838755.

557838488051712 is a `hidden beast` number, since 5 + 5 + 7 + 83 + 8 + 488 + 0 + 51 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×557838488051712² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (557838488051717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42185739 + ... + 53808117.

It is an arithmetic number, because the mean of its divisors is an integer number (4352216035200).

Almost surely, 2^{557838488051712} 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 557838488051712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974896391884800).

557838488051712 is an abundant number, since it is smaller than the sum of its proper divisors (1391954295717888).

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

557838488051712 is a wasteful number, since it uses less digits than its factorization.

557838488051712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11622452 (or 11622422 counting only the distinct ones).

The product of its (nonzero) digits is 602112000, while the sum is 72.

The spelling of 557838488051712 in words is "five hundred fifty-seven trillion, eight hundred thirty-eight billion, four hundred eighty-eight million, fifty-one thousand, seven hundred twelve".