558778776480 has 384 divisors, whose sum is σ = 1992766406400. Its totient is φ = 146195546112.

The previous prime is 558778776461. The next prime is 558778776497. The reversal of 558778776480 is 84677877855.

It is a happy number.

558778776480 is a `hidden beast` number, since 5 + 5 + 8 + 7 + 78 + 7 + 76 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 558778776399 and 558778776408.

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 63 ways as a sum of consecutive naturals, for example, 151141992 + ... + 151145688.

It is an arithmetic number, because the mean of its divisors is an integer number (5189495850).

Almost surely, 2^558778776480 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 558778776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996383203200).

558778776480 is an abundant number, since it is smaller than the sum of its proper divisors (1433987629920).

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

558778776480 is a wasteful number, since it uses less digits than its factorization.

558778776480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 737587200, while the sum is 72.

The spelling of 558778776480 in words is "five hundred fifty-eight billion, seven hundred seventy-eight million, seven hundred seventy-six thousand, four hundred eighty".