56418716100012 has 144 divisors (see below), whose sum is σ = 153432621951840. Its totient is φ = 16088474185728.

The previous prime is 56418716099923. The next prime is 56418716100023. The reversal of 56418716100012 is 21000161781465.

It is a super-3 number, since 3×56418716100012³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2567159968 + ... + 2567181944.

It is an arithmetic number, because the mean of its divisors is an integer number (1065504319110).

Almost surely, 2^{56418716100012} 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 56418716100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76716310975920).

56418716100012 is an abundant number, since it is smaller than the sum of its proper divisors (97013905851828).

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

56418716100012 is a wasteful number, since it uses less digits than its factorization.

56418716100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30240 (or 30231 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

Adding to 56418716100012 its reverse (21000161781465), we get a palindrome (77418877881477).

The spelling of 56418716100012 in words is "fifty-six trillion, four hundred eighteen billion, seven hundred sixteen million, one hundred thousand, twelve".