557240002560 has 576 divisors, whose sum is σ = 2057358139200. Its totient is φ = 139005001728.

The previous prime is 557240002513. The next prime is 557240002573. The reversal of 557240002560 is 65200042755.

557240002560 is a `hidden beast` number, since 5 + 57 + 2 + 40 + 0 + 0 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280441887 + ... + 280443873.

It is an arithmetic number, because the mean of its divisors is an integer number (3571802325).

Almost surely, 2^557240002560 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 557240002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028679069600).

557240002560 is an abundant number, since it is smaller than the sum of its proper divisors (1500118136640).

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

557240002560 is a wasteful number, since it uses less digits than its factorization.

557240002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 557240002560 in words is "five hundred fifty-seven billion, two hundred forty million, two thousand, five hundred sixty".