56171670144 has 128 divisors (see below), whose sum is σ = 156378729600. Its totient is φ = 17830957056.

The previous prime is 56171670143. The next prime is 56171670209. The reversal of 56171670144 is 44107617165.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 56171670096 and 56171670105.

It is not an unprimeable number, because it can be changed into a prime (56171670143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2008642 + ... + 2036414.

It is an arithmetic number, because the mean of its divisors is an integer number (1221708825).

Almost surely, 2^56171670144 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 56171670144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78189364800).

56171670144 is an abundant number, since it is smaller than the sum of its proper divisors (100207059456).

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

56171670144 is a wasteful number, since it uses less digits than its factorization.

56171670144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28042 (or 28030 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

It can be divided in two parts, 5617 and 1670144, that added together give a palindrome (1675761).

The spelling of 56171670144 in words is "fifty-six billion, one hundred seventy-one million, six hundred seventy thousand, one hundred forty-four".