557532167012352 has 3648 divisors, whose sum is σ = 2198482191360000. Its totient is φ = 140235950260224.

The previous prime is 557532167012347. The next prime is 557532167012377. The reversal of 557532167012352 is 253210761235755.

557532167012352 is a `hidden beast` number, since 5 + 5 + 7 + 5 + 3 + 216 + 70 + 1 + 2 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (3648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7057369202649 + ... + 7057369202727.

Almost surely, 2^{557532167012352} 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 557532167012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099241095680000).

557532167012352 is an abundant number, since it is smaller than the sum of its proper divisors (1640950024347648).

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

557532167012352 is an frugal number, since it uses more digits than its factorization.

557532167012352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 13230000, while the sum is 54.

The spelling of 557532167012352 in words is "five hundred fifty-seven trillion, five hundred thirty-two billion, one hundred sixty-seven million, twelve thousand, three hundred fifty-two".