5606101296 has 120 divisors (see below), whose sum is σ = 15865304000. Its totient is φ = 1847857536.

The previous prime is 5606101231. The next prime is 5606101321. The reversal of 5606101296 is 6921016065.

5606101296 is a `hidden beast` number, since 560 + 6 + 1 + 0 + 1 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5606101296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7585695 + ... + 7586433.

Almost surely, 2^5606101296 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 5606101296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7932652000).

5606101296 is an abundant number, since it is smaller than the sum of its proper divisors (10259202704).

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

5606101296 is a wasteful number, since it uses less digits than its factorization.

5606101296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5606101296 is about 74873.9026363659. The cubic root of 5606101296 is about 1776.4526938289.

The spelling of 5606101296 in words is "five billion, six hundred six million, one hundred one thousand, two hundred ninety-six".