5959227456 has 224 divisors, whose sum is σ = 21562446080. Its totient is φ = 1571622912.

The previous prime is 5959227427. The next prime is 5959227457. The reversal of 5959227456 is 6547229595.

5959227456 is a `hidden beast` number, since 5 + 9 + 592 + 2 + 7 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (5959227457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138300 + ... + 176196.

It is an arithmetic number, because the mean of its divisors is an integer number (96260920).

Almost surely, 2^5959227456 is an apocalyptic number.

5959227456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5959227456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10781223040).

5959227456 is an abundant number, since it is smaller than the sum of its proper divisors (15603218624).

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

5959227456 is a wasteful number, since it uses less digits than its factorization.

5959227456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37938 (or 37922 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The square root of 5959227456 is about 77196.0326441716. The cubic root of 5959227456 is about 1812.9951991105.

The spelling of 5959227456 in words is "five billion, nine hundred fifty-nine million, two hundred twenty-seven thousand, four hundred fifty-six".