557755556688800 has 288 divisors, whose sum is σ = 1438641126074880. Its totient is φ = 210571072588800.

The previous prime is 557755556688791. The next prime is 557755556688809. The reversal of 557755556688800 is 8886655557755.

It is a Cunningham number, because it is equal to 23616849²-1.

It is an interprime number because it is at equal distance from previous prime (557755556688791) and next prime (557755556688809).

It is a super-2 number, since 2×557755556688800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (80).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (557755556688809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7179483557 + ... + 7179561243.

It is an arithmetic number, because the mean of its divisors is an integer number (4995281687760).

Almost surely, 2^{557755556688800} is an apocalyptic number.

557755556688800 is a gapful number since it is divisible by the number (50) 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 557755556688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719320563037440).

557755556688800 is an abundant number, since it is smaller than the sum of its proper divisors (880885569386080).

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

557755556688800 is a wasteful number, since it uses less digits than its factorization.

557755556688800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79484 (or 79471 counting only the distinct ones).

The product of its (nonzero) digits is 14112000000, while the sum is 80.

The spelling of 557755556688800 in words is "five hundred fifty-seven trillion, seven hundred fifty-five billion, five hundred fifty-six million, six hundred eighty-eight thousand, eight hundred".