557925688320 has 1408 divisors, whose sum is σ = 2422964662272. Its totient is φ = 105814425600.

The previous prime is 557925688267. The next prime is 557925688357. The reversal of 557925688320 is 23886529755.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×557925688320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 2014172022 + ... + 2014172298.

It is an arithmetic number, because the mean of its divisors is an integer number (1720855584).

Almost surely, 2^557925688320 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 557925688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211482331136).

557925688320 is an abundant number, since it is smaller than the sum of its proper divisors (1865038973952).

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

557925688320 is a wasteful number, since it uses less digits than its factorization.

557925688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 60.

The spelling of 557925688320 in words is "five hundred fifty-seven billion, nine hundred twenty-five million, six hundred eighty-eight thousand, three hundred twenty".