56169345120 has 384 divisors, whose sum is σ = 215921147904. Its totient is φ = 11994200064.

The previous prime is 56169345119. The next prime is 56169345121. The reversal of 56169345120 is 2154396165.

It is an interprime number because it is at equal distance from previous prime (56169345119) and next prime (56169345121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56169345121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3314589 + ... + 3331491.

It is an arithmetic number, because the mean of its divisors is an integer number (562294656).

Almost surely, 2^56169345120 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 56169345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107960573952).

56169345120 is an abundant number, since it is smaller than the sum of its proper divisors (159751802784).

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

56169345120 is a wasteful number, since it uses less digits than its factorization.

56169345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16994 (or 16986 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 56169345120 in words is "fifty-six billion, one hundred sixty-nine million, three hundred forty-five thousand, one hundred twenty".