5956534080 has 252 divisors, whose sum is σ = 23833538820. Its totient is φ = 1361461248.

The previous prime is 5956534027. The next prime is 5956534081. The reversal of 5956534080 is 804356595.

5956534080 is a `hidden beast` number, since 5 + 9 + 565 + 3 + 4 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3516964416 + 2439569664 = 59304^2 + 49392^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5956534081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120016 + ... + 162224.

It is an arithmetic number, because the mean of its divisors is an integer number (94577535).

Almost surely, 2^5956534080 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 5956534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11916769410).

5956534080 is an abundant number, since it is smaller than the sum of its proper divisors (17877004740).

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

5956534080 is a wasteful number, since it uses less digits than its factorization.

5956534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42246 (or 42226 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 5956534080 is about 77178.5856309896. The cubic root of 5956534080 is about 1812.7220197628.

The spelling of 5956534080 in words is "five billion, nine hundred fifty-six million, five hundred thirty-four thousand, eighty".