556022192640 has 320 divisors, whose sum is σ = 1811165685120. Its totient is φ = 145477140480.

The previous prime is 556022192639. The next prime is 556022192659. The reversal of 556022192640 is 46291220655.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 556022192592 and 556022192601.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 343011030 + ... + 343012650.

It is an arithmetic number, because the mean of its divisors is an integer number (5659892766).

Almost surely, 2^556022192640 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 556022192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905582842560).

556022192640 is an abundant number, since it is smaller than the sum of its proper divisors (1255143492480).

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

556022192640 is a wasteful number, since it uses less digits than its factorization.

556022192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 556022192640 in words is "five hundred fifty-six billion, twenty-two million, one hundred ninety-two thousand, six hundred forty".