56718025555968 has 1026 divisors, whose sum is σ = 198217992443406. Its totient is φ = 16181071183872.

The previous prime is 56718025555963. The next prime is 56718025555993. The reversal of 56718025555968 is 86955552081765.

56718025555968 is a `hidden beast` number, since 5 + 6 + 7 + 1 + 8 + 0 + 2 + 5 + 5 + 559 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44582222168064 + 12135803387904 = 6676992^2 + 3483648^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 56718025555896 and 56718025555905.

It is not an unprimeable number, because it can be changed into a prime (56718025555963) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 84276412080 + ... + 84276412752.

Almost surely, 2^{56718025555968} 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 56718025555968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99108996221703).

56718025555968 is an abundant number, since it is smaller than the sum of its proper divisors (141499966887438).

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

56718025555968 is an frugal number, since it uses more digits than its factorization.

56718025555968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 907200000, while the sum is 72.

The spelling of 56718025555968 in words is "fifty-six trillion, seven hundred eighteen billion, twenty-five million, five hundred fifty-five thousand, nine hundred sixty-eight".