53835098112 has 144 divisors (see below), whose sum is σ = 158037892740. Its totient is φ = 17650483200.

The previous prime is 53835098111. The next prime is 53835098153. The reversal of 53835098112 is 21189053835.

53835098112 is a `hidden beast` number, since 53 + 8 + 3 + 509 + 81 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53571879936 + 263218176 = 231456^2 + 16224^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (53835098111) 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, 1100412 + ... + 1148292.

Almost surely, 2^53835098112 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 53835098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79018946370).

53835098112 is an abundant number, since it is smaller than the sum of its proper divisors (104202794628).

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

53835098112 is a wasteful number, since it uses less digits than its factorization.

53835098112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47970 (or 47947 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 53835098112 in words is "fifty-three billion, eight hundred thirty-five million, ninety-eight thousand, one hundred twelve".