557991751680 has 936 divisors, whose sum is σ = 2153566711296. Its totient is φ = 133524357120.

The previous prime is 557991751673. The next prime is 557991751693. The reversal of 557991751680 is 86157199755.

557991751680 is a `hidden beast` number, since 5 + 579 + 9 + 1 + 7 + 51 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×557991751680² (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 71 ways as a sum of consecutive naturals, for example, 2832445342 + ... + 2832445538.

It is an arithmetic number, because the mean of its divisors is an integer number (2300819136).

Almost surely, 2^557991751680 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 557991751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076783355648).

557991751680 is an abundant number, since it is smaller than the sum of its proper divisors (1595574959616).

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

557991751680 is a wasteful number, since it uses less digits than its factorization.

557991751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 23814000, while the sum is 63.

It can be divided in two parts, 55799175 and 1680, that added together give a palindrome (55800855).

The spelling of 557991751680 in words is "five hundred fifty-seven billion, nine hundred ninety-one million, seven hundred fifty-one thousand, six hundred eighty".