56665716480 has 576 divisors, whose sum is σ = 217961694720. Its totient is φ = 13885046784.

The previous prime is 56665716473. The next prime is 56665716587. The reversal of 56665716480 is 8461756665.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×56665716480² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25262239 + ... + 25264481.

It is an arithmetic number, because the mean of its divisors is an integer number (378405720).

Almost surely, 2^56665716480 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 56665716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108980847360).

56665716480 is an abundant number, since it is smaller than the sum of its proper divisors (161295978240).

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

56665716480 is a wasteful number, since it uses less digits than its factorization.

56665716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 56665716480 in words is "fifty-six billion, six hundred sixty-five million, seven hundred sixteen thousand, four hundred eighty".