56485465200 has 180 divisors, whose sum is σ = 196254735768. Its totient is φ = 15044774400.

The previous prime is 56485465187. The next prime is 56485465207. The reversal of 56485465200 is 256458465.

56485465200 is a `hidden beast` number, since 5 + 6 + 4 + 85 + 46 + 520 + 0 = 666.

56485465200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×56485465200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56485465207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3148255 + ... + 3166145.

Almost surely, 2^56485465200 is an apocalyptic number.

56485465200 is a gapful number since it is divisible by the number (50) 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 56485465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98127367884).

56485465200 is an abundant number, since it is smaller than the sum of its proper divisors (139769270568).

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

56485465200 is a wasteful number, since it uses less digits than its factorization.

56485465200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18792 (or 18778 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 56485465200 in words is "fifty-six billion, four hundred eighty-five million, four hundred sixty-five thousand, two hundred".