53634263123232 has 288 divisors, whose sum is σ = 166833739800000. Its totient is φ = 16209324472320.

The previous prime is 53634263123227. The next prime is 53634263123257. The reversal of 53634263123232 is 23232136243635.

53634263123232 is a `hidden beast` number, since 5 + 3 + 6 + 3 + 4 + 2 + 6 + 312 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×53634263123232² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2417144394 + ... + 2417166582.

It is an arithmetic number, because the mean of its divisors is an integer number (579283818750).

Almost surely, 2^{53634263123232} 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 53634263123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83416869900000).

53634263123232 is an abundant number, since it is smaller than the sum of its proper divisors (113199476676768).

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

53634263123232 is a wasteful number, since it uses less digits than its factorization.

53634263123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24224 (or 24213 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 45.

Adding to 53634263123232 its reverse (23232136243635), we get a palindrome (76866399366867).

The spelling of 53634263123232 in words is "fifty-three trillion, six hundred thirty-four billion, two hundred sixty-three million, one hundred twenty-three thousand, two hundred thirty-two".