4510265794560 has 560 divisors, whose sum is σ = 17020396998000. Its totient is φ = 1139419643904.

The previous prime is 4510265794553. The next prime is 4510265794583. The reversal of 4510265794560 is 654975620154.

4510265794560 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 2 + 6 + 5 + 79 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4510265794497 and 4510265794506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63001666 + ... + 63073214.

Almost surely, 2^{4510265794560} is an apocalyptic number.

4510265794560 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 4510265794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8510198499000).

4510265794560 is an abundant number, since it is smaller than the sum of its proper divisors (12510131203440).

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

4510265794560 is an equidigital number, since it uses as much as digits as its factorization.

4510265794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71611 (or 71578 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 4510265794560 in words is "four trillion, five hundred ten billion, two hundred sixty-five million, seven hundred ninety-four thousand, five hundred sixty".