5456525760 has 336 divisors, whose sum is σ = 22143793152. Its totient is φ = 1206835200.

The previous prime is 5456525743. The next prime is 5456525821. The reversal of 5456525760 is 675256545.

5456525760 is a `hidden beast` number, since 5 + 4 + 56 + 525 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 620595 + ... + 629325.

Almost surely, 2^5456525760 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 5456525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11071896576).

5456525760 is an abundant number, since it is smaller than the sum of its proper divisors (16687267392).

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

5456525760 is a wasteful number, since it uses less digits than its factorization.

5456525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8792 (or 8779 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

The square root of 5456525760 is about 73868.3001022766. The cubic root of 5456525760 is about 1760.5109742259.

The spelling of 5456525760 in words is "five billion, four hundred fifty-six million, five hundred twenty-five thousand, seven hundred sixty".