53121600 has 504 divisors, whose sum is σ = 235842048. Its totient is φ = 11059200.

The previous prime is 53121581. The next prime is 53121623. The reversal of 53121600 is 612135.

53121600 is a `hidden beast` number, since 53 + 12 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1713585 + ... + 1713615.

Almost surely, 2^53121600 is an apocalyptic number.

53121600 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 53121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117921024).

53121600 is an abundant number, since it is smaller than the sum of its proper divisors (182720448).

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

53121600 is a wasteful number, since it uses less digits than its factorization.

53121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 53121600 is about 7288.4566267489. The cubic root of 53121600 is about 375.9156291756.

Adding to 53121600 its reverse (612135), we get a palindrome (53733735).

The spelling of 53121600 in words is "fifty-three million, one hundred twenty-one thousand, six hundred".