56229523401600 has 1536 divisors, whose sum is σ = 217125160243200. Its totient is φ = 14192381952000.

The previous prime is 56229523401593. The next prime is 56229523401647. The reversal of 56229523401600 is 610432592265.

56229523401600 is a `hidden beast` number, since 5 + 6 + 2 + 2 + 9 + 5 + 2 + 34 + 0 + 1 + 600 = 666.

It is a super-3 number, since 3×56229523401600³ (a number of 42 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32186331927 + ... + 32186333673.

It is an arithmetic number, because the mean of its divisors is an integer number (141357526200).

Almost surely, 2^{56229523401600} is an apocalyptic number.

56229523401600 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 56229523401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108562580121600).

56229523401600 is an abundant number, since it is smaller than the sum of its proper divisors (160895636841600).

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

56229523401600 is a wasteful number, since it uses less digits than its factorization.

56229523401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 56229523401600 its reverse (610432592265), we get a palindrome (56839955993865).

The spelling of 56229523401600 in words is "fifty-six trillion, two hundred twenty-nine billion, five hundred twenty-three million, four hundred one thousand, six hundred".