53564560446480 has 320 divisors, whose sum is σ = 178693437173760. Its totient is φ = 13232817303552.

The previous prime is 53564560446457. The next prime is 53564560446653. The reversal of 53564560446480 is 8464406546535.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 63 ways as a sum of consecutive naturals, for example, 41216377 + ... + 42496103.

It is an arithmetic number, because the mean of its divisors is an integer number (558416991168).

Almost surely, 2^{53564560446480} 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 53564560446480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89346718586880).

53564560446480 is an abundant number, since it is smaller than the sum of its proper divisors (125128876727280).

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

53564560446480 is a wasteful number, since it uses less digits than its factorization.

53564560446480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279966 (or 1279960 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 60.

The spelling of 53564560446480 in words is "fifty-three trillion, five hundred sixty-four billion, five hundred sixty million, four hundred forty-six thousand, four hundred eighty".