56128267260 has 288 divisors, whose sum is σ = 194793947712. Its totient is φ = 12959539200.

The previous prime is 56128267253. The next prime is 56128267267. The reversal of 56128267260 is 6276282165.

56128267260 is a `hidden beast` number, since 5 + 6 + 128 + 267 + 260 = 666.

It is an interprime number because it is at equal distance from previous prime (56128267253) and next prime (56128267267).

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 (56128267267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12608035 + ... + 12612485.

It is an arithmetic number, because the mean of its divisors is an integer number (676367874).

Almost surely, 2^56128267260 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 56128267260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97396973856).

56128267260 is an abundant number, since it is smaller than the sum of its proper divisors (138665680452).

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

56128267260 is a wasteful number, since it uses less digits than its factorization.

56128267260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 56128267260 in words is "fifty-six billion, one hundred twenty-eight million, two hundred sixty-seven thousand, two hundred sixty".