5465258386560 has 1600 divisors, whose sum is σ = 23977711771200. Its totient is φ = 1182942351360.

The previous prime is 5465258386559. The next prime is 5465258386571. The reversal of 5465258386560 is 656838525645.

It is a happy number.

5465258386560 is a `hidden beast` number, since 5 + 4 + 65 + 2 + 5 + 8 + 3 + 8 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 2364887805 + ... + 2364890115.

It is an arithmetic number, because the mean of its divisors is an integer number (14986069857).

Almost surely, 2^{5465258386560} 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 5465258386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11988855885600).

5465258386560 is an abundant number, since it is smaller than the sum of its proper divisors (18512453384640).

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

5465258386560 is an equidigital number, since it uses as much as digits as its factorization.

5465258386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 63.

The spelling of 5465258386560 in words is "five trillion, four hundred sixty-five billion, two hundred fifty-eight million, three hundred eighty-six thousand, five hundred sixty".