56781628534944 has 384 divisors, whose sum is σ = 167157543168000. Its totient is φ = 18751788417024.

The previous prime is 56781628534919. The next prime is 56781628534949. The reversal of 56781628534944 is 44943582618765.

56781628534944 is a `hidden beast` number, since 5 + 6 + 7 + 8 + 162 + 85 + 349 + 44 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56781628534949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60599389644 + ... + 60599390580.

It is an arithmetic number, because the mean of its divisors is an integer number (435306102000).

Almost surely, 2^{56781628534944} is an apocalyptic number.

56781628534944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56781628534944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83578771584000).

56781628534944 is an abundant number, since it is smaller than the sum of its proper divisors (110375914633056).

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

56781628534944 is a wasteful number, since it uses less digits than its factorization.

56781628534944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2343 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 56781628534944 in words is "fifty-six trillion, seven hundred eighty-one billion, six hundred twenty-eight million, five hundred thirty-four thousand, nine hundred forty-four".