557388720000 has 1920 divisors, whose sum is σ = 2439887736000. Its totient is φ = 121927680000.

The previous prime is 557388719983. The next prime is 557388720029. The reversal of 557388720000 is 27883755.

557388720000 is a `hidden beast` number, since 5 + 573 + 8 + 8 + 72 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9137519970 + ... + 9137520030.

Almost surely, 2^557388720000 is an apocalyptic number.

557388720000 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 557388720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219943868000).

557388720000 is an abundant number, since it is smaller than the sum of its proper divisors (1882499016000).

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

557388720000 is an equidigital number, since it uses as much as digits as its factorization.

557388720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 557388720000 in words is "five hundred fifty-seven billion, three hundred eighty-eight million, seven hundred twenty thousand".