556154216640 has 2352 divisors, whose sum is σ = 2472412692960. Its totient is φ = 118244966400.

The previous prime is 556154216609. The next prime is 556154216677. The reversal of 556154216640 is 46612451655.

556154216640 is a `hidden beast` number, since 5 + 5 + 6 + 1 + 542 + 1 + 66 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 9117282210 + ... + 9117282270.

Almost surely, 2^556154216640 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 556154216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236206346480).

556154216640 is an abundant number, since it is smaller than the sum of its proper divisors (1916258476320).

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

556154216640 is a wasteful number, since it uses less digits than its factorization.

556154216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 556154216640 in words is "five hundred fifty-six billion, one hundred fifty-four million, two hundred sixteen thousand, six hundred forty".