53216800 has 288 divisors, whose sum is σ = 173238912. Its totient is φ = 15482880.

The previous prime is 53216797. The next prime is 53216803. The reversal of 53216800 is 861235.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53216797) and next prime (53216803).

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

It is not an unprimeable number, because it can be changed into a prime (53216803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1237579 + ... + 1237621.

It is an arithmetic number, because the mean of its divisors is an integer number (601524).

Almost surely, 2^53216800 is an apocalyptic number.

53216800 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 53216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86619456).

53216800 is an abundant number, since it is smaller than the sum of its proper divisors (120022112).

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

53216800 is a wasteful number, since it uses less digits than its factorization.

53216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 53216800 is about 7294.9845784621. The cubic root of 53216800 is about 376.1400564702.

It can be divided in two parts, 5321 and 6800, that added together give a palindrome (12121).

The spelling of 53216800 in words is "fifty-three million, two hundred sixteen thousand, eight hundred".