556535605248 has 768 divisors, whose sum is σ = 2020951296000. Its totient is φ = 147708444672.

The previous prime is 556535605237. The next prime is 556535605259. The reversal of 556535605248 is 842506535655.

556535605248 is a `hidden beast` number, since 5 + 5 + 6 + 5 + 3 + 5 + 605 + 24 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (556535605237) and next prime (556535605259).

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 556535605194 and 556535605203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 546158083 + ... + 546159101.

It is an arithmetic number, because the mean of its divisors is an integer number (2631447000).

Almost surely, 2^556535605248 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 556535605248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010475648000).

556535605248 is an abundant number, since it is smaller than the sum of its proper divisors (1464415690752).

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

556535605248 is a wasteful number, since it uses less digits than its factorization.

556535605248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 21600000, while the sum is 54.

The spelling of 556535605248 in words is "five hundred fifty-six billion, five hundred thirty-five million, six hundred five thousand, two hundred forty-eight".