556972416000 has 4224 divisors, whose sum is σ = 2935606302720. Its totient is φ = 102187008000.

The previous prime is 556972415963. The next prime is 556972416001. The reversal of 556972416000 is 614279655.

556972416000 is a `hidden beast` number, since 5 + 569 + 7 + 24 + 1 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556972416001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24216191989 + ... + 24216192011.

Almost surely, 2^556972416000 is an apocalyptic number.

556972416000 is a gapful number since it is divisible by the number (50) 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 556972416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467803151360).

556972416000 is an abundant number, since it is smaller than the sum of its proper divisors (2378633886720).

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

556972416000 is a wasteful number, since it uses less digits than its factorization.

556972416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 556972416000 in words is "five hundred fifty-six billion, nine hundred seventy-two million, four hundred sixteen thousand".