4560525434880 has 896 divisors, whose sum is σ = 17335803824640. Its totient is φ = 1134632632320.

The previous prime is 4560525434879. The next prime is 4560525434887. The reversal of 4560525434880 is 884345250654.

4560525434880 is a `hidden beast` number, since 4 + 5 + 6 + 0 + 52 + 543 + 48 + 8 + 0 = 666.

It is a super-2 number, since 2×4560525434880² (a number of 26 digits) contains 22 as substring.

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 (4560525434887) 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 63 ways as a sum of consecutive naturals, for example, 1042880374 + ... + 1042884746.

It is an arithmetic number, because the mean of its divisors is an integer number (19347995340).

Almost surely, 2^{4560525434880} is an apocalyptic number.

4560525434880 is a gapful number since it is divisible by the number (40) 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 4560525434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8667901912320).

4560525434880 is an abundant number, since it is smaller than the sum of its proper divisors (12775278389760).

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

4560525434880 is a wasteful number, since it uses less digits than its factorization.

4560525434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 4560525434880 in words is "four trillion, five hundred sixty billion, five hundred twenty-five million, four hundred thirty-four thousand, eight hundred eighty".