557896628071224 has 512 divisors, whose sum is σ = 1810937834496000. Its totient is φ = 158125133740032.

The previous prime is 557896628071201. The next prime is 557896628071339. The reversal of 557896628071224 is 422170826698755.

557896628071224 is a `hidden beast` number, since 5 + 57 + 8 + 9 + 6 + 6 + 280 + 71 + 224 = 666.

It is a super-2 number, since 2×557896628071224² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 647967877 + ... + 648828299.

It is an arithmetic number, because the mean of its divisors is an integer number (3536987958000).

Almost surely, 2^{557896628071224} is an apocalyptic number.

557896628071224 is a gapful number since it is divisible by the number (54) 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 557896628071224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905468917248000).

557896628071224 is an abundant number, since it is smaller than the sum of its proper divisors (1253041206424776).

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

557896628071224 is a wasteful number, since it uses less digits than its factorization.

557896628071224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860549 (or 860505 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 557896628071224 in words is "five hundred fifty-seven trillion, eight hundred ninety-six billion, six hundred twenty-eight million, seventy-one thousand, two hundred twenty-four".