556365089280 has 1920 divisors, whose sum is σ = 2536217671680. Its totient is φ = 100753735680.

The previous prime is 556365089263. The next prime is 556365089333. The reversal of 556365089280 is 82980563655.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×556365089280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 556365089280.

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 191 ways as a sum of consecutive naturals, for example, 1898856814 + ... + 1898857106.

It is an arithmetic number, because the mean of its divisors is an integer number (1320946704).

Almost surely, 2^556365089280 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 556365089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268108835840).

556365089280 is an abundant number, since it is smaller than the sum of its proper divisors (1979852582400).

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

556365089280 is a wasteful number, since it uses less digits than its factorization.

556365089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 57.

The spelling of 556365089280 in words is "five hundred fifty-six billion, three hundred sixty-five million, eighty-nine thousand, two hundred eighty".