56605120000 has 400 divisors, whose sum is σ = 166171520592. Its totient is φ = 18984960000.

The previous prime is 56605119953. The next prime is 56605120067. The reversal of 56605120000 is 2150665.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×56605120000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 45759382 + ... + 45760618.

Almost surely, 2^56605120000 is an apocalyptic number.

56605120000 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 56605120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83085760296).

56605120000 is an abundant number, since it is smaller than the sum of its proper divisors (109566400592).

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

56605120000 is a wasteful number, since it uses less digits than its factorization.

56605120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 56605120000 its reverse (2150665), we get a palindrome (56607270665).

The spelling of 56605120000 in words is "fifty-six billion, six hundred five million, one hundred twenty thousand".