557268480000 has 1170 divisors, whose sum is σ = 2154592781484. Its totient is φ = 138682368000.

The previous prime is 557268479993. The next prime is 557268480023. The reversal of 557268480000 is 84862755.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 8317439967 + ... + 8317440033.

Almost surely, 2^557268480000 is an apocalyptic number.

557268480000 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 557268480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077296390742).

557268480000 is an abundant number, since it is smaller than the sum of its proper divisors (1597324301484).

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

557268480000 is an equidigital number, since it uses as much as digits as its factorization.

557268480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 557268480000 in words is "five hundred fifty-seven billion, two hundred sixty-eight million, four hundred eighty thousand".