53129118240 has 960 divisors, whose sum is σ = 215766270720. Its totient is φ = 12192768000.

The previous prime is 53129118223. The next prime is 53129118247. The reversal of 53129118240 is 4281192135.

53129118240 is a `hidden beast` number, since 5 + 312 + 91 + 18 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53129118195 and 53129118204.

It is not an unprimeable number, because it can be changed into a prime (53129118247) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 293530950 + ... + 293531130.

It is an arithmetic number, because the mean of its divisors is an integer number (224756532).

Almost surely, 2^53129118240 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 53129118240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107883135360).

53129118240 is an abundant number, since it is smaller than the sum of its proper divisors (162637152480).

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

53129118240 is a wasteful number, since it uses less digits than its factorization.

53129118240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 53129118240 in words is "fifty-three billion, one hundred twenty-nine million, one hundred eighteen thousand, two hundred forty".