53853120 has 224 divisors, whose sum is σ = 198973440. Its totient is φ = 13685760.

The previous prime is 53853103. The next prime is 53853199. The reversal of 53853120 is 2135835.

53853120 is a `hidden beast` number, since 538 + 5 + 3 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198585 + ... + 198855.

Almost surely, 2^53853120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99486720).

53853120 is an abundant number, since it is smaller than the sum of its proper divisors (145120320).

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

53853120 is a wasteful number, since it uses less digits than its factorization.

53853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 304 counting only the distinct ones).

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

The square root of 53853120 is about 7338.4685050765. The cubic root of 53853120 is about 377.6333052592.

Adding to 53853120 its reverse (2135835), we get a palindrome (55988955).

The spelling of 53853120 in words is "fifty-three million, eight hundred fifty-three thousand, one hundred twenty".