557986201920 has 1344 divisors, whose sum is σ = 2419739412480. Its totient is φ = 115107692544.

The previous prime is 557986201897. The next prime is 557986202003. The reversal of 557986201920 is 29102689755.

557986201920 is a `hidden beast` number, since 5 + 5 + 7 + 9 + 8 + 620 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×557986201920² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1001770282 + ... + 1001770838.

Almost surely, 2^557986201920 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 557986201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209869706240).

557986201920 is an abundant number, since it is smaller than the sum of its proper divisors (1861753210560).

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

557986201920 is a wasteful number, since it uses less digits than its factorization.

557986201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 557986201920 in words is "five hundred fifty-seven billion, nine hundred eighty-six million, two hundred one thousand, nine hundred twenty".