53109600 has 72 divisors (see below), whose sum is σ = 172879560. Its totient is φ = 14161920.

The previous prime is 53109587. The next prime is 53109607. The reversal of 53109600 is 690135.

It is a super-2 number, since 2×53109600² = 5641259224320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53109607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8665 + ... + 13464.

It is an arithmetic number, because the mean of its divisors is an integer number (2401105).

Almost surely, 2^53109600 is an apocalyptic number.

53109600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53109600 is an abundant number, since it is smaller than the sum of its proper divisors (119769960).

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

53109600 is a wasteful number, since it uses less digits than its factorization.

53109600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22152 (or 22139 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 53109600 is about 7287.6333607009. The cubic root of 53109600 is about 375.8873209968.

Adding to 53109600 its reverse (690135), we get a palindrome (53799735).

The spelling of 53109600 in words is "fifty-three million, one hundred nine thousand, six hundred".