53518195600 has 135 divisors (see below), whose sum is σ = 132128354163. Its totient is φ = 20831704320.

The previous prime is 53518195597. The next prime is 53518195673. The reversal of 53518195600 is 659181535.

The square root of 53518195600 is 231340.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20528012176 + 32990183424 = 143276^2 + 181632^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 198952266 + ... + 198952534.

Almost surely, 2^53518195600 is an apocalyptic number.

53518195600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53518195600 is the 231340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53518195600

53518195600 is an abundant number, since it is smaller than the sum of its proper divisors (78610158563).

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

53518195600 is an equidigital number, since it uses as much as digits as its factorization.

53518195600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 43.

The spelling of 53518195600 in words is "fifty-three billion, five hundred eighteen million, one hundred ninety-five thousand, six hundred".