556920258048 has 960 divisors, whose sum is σ = 2144202762240. Its totient is φ = 141049036800.

The previous prime is 556920258029. The next prime is 556920258073. The reversal of 556920258048 is 840852029655.

556920258048 is a `hidden beast` number, since 5 + 56 + 9 + 2 + 0 + 2 + 580 + 4 + 8 = 666.

It is a super-3 number, since 3×556920258048³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 556920257985 and 556920258003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305495665 + ... + 305497487.

It is an arithmetic number, because the mean of its divisors is an integer number (2233544544).

Almost surely, 2^556920258048 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 556920258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072101381120).

556920258048 is an abundant number, since it is smaller than the sum of its proper divisors (1587282504192).

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

556920258048 is a wasteful number, since it uses less digits than its factorization.

556920258048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 556920258048 in words is "five hundred fifty-six billion, nine hundred twenty million, two hundred fifty-eight thousand, forty-eight".