556789178880 has 1600 divisors, whose sum is σ = 2344739177088. Its totient is φ = 124783165440.

The previous prime is 556789178861. The next prime is 556789178899. The reversal of 556789178880 is 88871987655.

It is an interprime number because it is at equal distance from previous prime (556789178861) and next prime (556789178899).

It is a super-3 number, since 3×556789178880³ (a number of 36 digits) contains 333 as substring.

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 = 556789178799 and 556789178808.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3218434474 + ... + 3218434646.

Almost surely, 2^556789178880 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 556789178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172369588544).

556789178880 is an abundant number, since it is smaller than the sum of its proper divisors (1787949998208).

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

556789178880 is a wasteful number, since it uses less digits than its factorization.

556789178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 72.

The spelling of 556789178880 in words is "five hundred fifty-six billion, seven hundred eighty-nine million, one hundred seventy-eight thousand, eight hundred eighty".