53005600 has 72 divisors (see below), whose sum is σ = 131710320. Its totient is φ = 20824320.

The previous prime is 53005577. The next prime is 53005621. The reversal of 53005600 is 650035.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46639 + ... + 47761.

It is an arithmetic number, because the mean of its divisors is an integer number (1829310).

Almost surely, 2^53005600 is an apocalyptic number.

53005600 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 53005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65855160).

53005600 is an abundant number, since it is smaller than the sum of its proper divisors (78704720).

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

53005600 is a wasteful number, since it uses less digits than its factorization.

53005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 53005600 is about 7280.4944887006. The cubic root of 53005600 is about 375.6418046419.

Adding to 53005600 its reverse (650035), we get a palindrome (53655635).

The spelling of 53005600 in words is "fifty-three million, five thousand, six hundred".