557346521088 has 680 divisors, whose sum is σ = 1945781500608. Its totient is φ = 155685224448.

The previous prime is 557346521077. The next prime is 557346521107. The reversal of 557346521088 is 880125643755.

557346521088 is a `hidden beast` number, since 5 + 5 + 7 + 34 + 6 + 521 + 0 + 88 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1969422195 + ... + 1969422477.

Almost surely, 2^557346521088 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 557346521088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972890750304).

557346521088 is an abundant number, since it is smaller than the sum of its proper divisors (1388434979520).

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

557346521088 is an frugal number, since it uses more digits than its factorization.

557346521088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 557346521088 in words is "five hundred fifty-seven billion, three hundred forty-six million, five hundred twenty-one thousand, eighty-eight".