56145600 has 252 divisors, whose sum is σ = 228471984. Its totient is φ = 12810240.

The previous prime is 56145587. The next prime is 56145629. The reversal of 56145600 is 654165.

It is a happy number.

56145600 is a `hidden beast` number, since 56 + 1 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100522 + ... + 101078.

Almost surely, 2^56145600 is an apocalyptic number.

56145600 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 56145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114235992).

56145600 is an abundant number, since it is smaller than the sum of its proper divisors (172326384).

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

56145600 is a wasteful number, since it uses less digits than its factorization.

56145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 56145600 is about 7493.0367675596. The cubic root of 56145600 is about 382.9175243424.

Adding to 56145600 its reverse (654165), we get a palindrome (56799765).

The spelling of 56145600 in words is "fifty-six million, one hundred forty-five thousand, six hundred".