557716451682240 has 448 divisors, whose sum is σ = 2071156877337600. Its totient is φ = 140889674723328.

The previous prime is 557716451682223. The next prime is 557716451682251. The reversal of 557716451682240 is 42286154617755.

557716451682240 is a `hidden beast` number, since 5 + 5 + 7 + 7 + 16 + 4 + 516 + 82 + 24 + 0 = 666.

It is a super-2 number, since 2×557716451682240² (a number of 30 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 63 ways as a sum of consecutive naturals, for example, 3751474149 + ... + 3751622811.

Almost surely, 2^{557716451682240} 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 557716451682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035578438668800).

557716451682240 is an abundant number, since it is smaller than the sum of its proper divisors (1513440425655360).

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

557716451682240 is a wasteful number, since it uses less digits than its factorization.

557716451682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171561 (or 171545 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 557716451682240 in words is "five hundred fifty-seven trillion, seven hundred sixteen billion, four hundred fifty-one million, six hundred eighty-two thousand, two hundred forty".