56872868416 has 448 divisors, whose sum is σ = 158227776000. Its totient is φ = 20028653568.

The previous prime is 56872868411. The next prime is 56872868441. The reversal of 56872868416 is 61486827865.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (56872868411) 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, 92176140 + ... + 92176756.

It is an arithmetic number, because the mean of its divisors is an integer number (353187000).

Almost surely, 2^56872868416 is an apocalyptic number.

56872868416 is a gapful number since it is divisible by the number (56) 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 56872868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79113888000).

56872868416 is an abundant number, since it is smaller than the sum of its proper divisors (101354907584).

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

56872868416 is a wasteful number, since it uses less digits than its factorization.

56872868416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 675 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 61.

The spelling of 56872868416 in words is "fifty-six billion, eight hundred seventy-two million, eight hundred sixty-eight thousand, four hundred sixteen".