56965447851840 has 448 divisors, whose sum is σ = 219292597451520. Its totient is φ = 13805904199680.

The previous prime is 56965447851827. The next prime is 56965447851841. The reversal of 56965447851840 is 4815874456965.

56965447851840 is a `hidden beast` number, since 5 + 6 + 9 + 6 + 544 + 78 + 5 + 1 + 8 + 4 + 0 = 666.

56965447851840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56965447851841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343676824 + ... + 343842536.

Almost surely, 2^{56965447851840} 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 56965447851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109646298725760).

56965447851840 is an abundant number, since it is smaller than the sum of its proper divisors (162327149599680).

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

56965447851840 is a wasteful number, since it uses less digits than its factorization.

56965447851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169367 (or 169351 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 72.

The spelling of 56965447851840 in words is "fifty-six trillion, nine hundred sixty-five billion, four hundred forty-seven million, eight hundred fifty-one thousand, eight hundred forty".