53953200 has 180 divisors, whose sum is σ = 214080048. Its totient is φ = 12326400.

The previous prime is 53953181. The next prime is 53953201. The reversal of 53953200 is 235935.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (53953201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24130 + ... + 26270.

Almost surely, 2^53953200 is an apocalyptic number.

53953200 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 53953200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107040024).

53953200 is an abundant number, since it is smaller than the sum of its proper divisors (160126848).

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

53953200 is a wasteful number, since it uses less digits than its factorization.

53953200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 53953200 is about 7345.2842014452. The cubic root of 53953200 is about 377.8670902509.

The spelling of 53953200 in words is "fifty-three million, nine hundred fifty-three thousand, two hundred".