556535056896 has 1440 divisors, whose sum is σ = 2246475591360. Its totient is φ = 130650734592.

The previous prime is 556535056873. The next prime is 556535056907. The reversal of 556535056896 is 698650535655.

556535056896 is a `hidden beast` number, since 5 + 5 + 6 + 535 + 0 + 5 + 6 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 948100315 + ... + 948100901.

It is an arithmetic number, because the mean of its divisors is an integer number (1560052494).

Almost surely, 2^556535056896 is an apocalyptic number.

556535056896 is a gapful number since it is divisible by the number (56) 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 556535056896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123237795680).

556535056896 is an abundant number, since it is smaller than the sum of its proper divisors (1689940534464).

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

556535056896 is a wasteful number, since it uses less digits than its factorization.

556535056896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 145800000, while the sum is 63.

The spelling of 556535056896 in words is "five hundred fifty-six billion, five hundred thirty-five million, fifty-six thousand, eight hundred ninety-six".