535463362560 has 512 divisors, whose sum is σ = 2061552844800. Its totient is φ = 115935805440.

The previous prime is 535463362543. The next prime is 535463362583. The reversal of 535463362560 is 65263364535.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 65368065 + ... + 65376255.

It is an arithmetic number, because the mean of its divisors is an integer number (4026470400).

Almost surely, 2^535463362560 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 535463362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030776422400).

535463362560 is an abundant number, since it is smaller than the sum of its proper divisors (1526089482240).

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

535463362560 is an equidigital number, since it uses as much as digits as its factorization.

535463362560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 48.

The spelling of 535463362560 in words is "five hundred thirty-five billion, four hundred sixty-three million, three hundred sixty-two thousand, five hundred sixty".