71563054603680 has 240 divisors, whose sum is σ = 252635734174824. Its totient is φ = 19077603563520.

The previous prime is 71563054603657. The next prime is 71563054603693. The reversal of 71563054603680 is 8630645036517.

71563054603680 is a `hidden beast` number, since 7 + 1 + 5 + 6 + 30 + 546 + 0 + 3 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65867443247376 + 5695611356304 = 8115876^2 + 2386548^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

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 39 ways as a sum of consecutive naturals, for example, 41310150 + ... + 43007610.

Almost surely, 2^{71563054603680} 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 71563054603680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126317867087412).

71563054603680 is an abundant number, since it is smaller than the sum of its proper divisors (181072679571144).

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

71563054603680 is a wasteful number, since it uses less digits than its factorization.

71563054603680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700741 (or 1700724 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 71563054603680 in words is "seventy-one trillion, five hundred sixty-three billion, fifty-four million, six hundred three thousand, six hundred eighty".