53765130240 has 1152 divisors, whose sum is σ = 216360668160. Its totient is φ = 12740198400.

The previous prime is 53765130179. The next prime is 53765130241. The reversal of 53765130240 is 4203156735.

53765130240 is a `hidden beast` number, since 53 + 76 + 513 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 53765130195 and 53765130204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53765130241) 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 95 ways as a sum of consecutive naturals, for example, 1311344620 + ... + 1311344660.

It is an arithmetic number, because the mean of its divisors is an integer number (187813080).

Almost surely, 2^53765130240 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 53765130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108180334080).

53765130240 is an abundant number, since it is smaller than the sum of its proper divisors (162595537920).

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

53765130240 is a wasteful number, since it uses less digits than its factorization.

53765130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 53765130240 its reverse (4203156735), we get a palindrome (57968286975).

The spelling of 53765130240 in words is "fifty-three billion, seven hundred sixty-five million, one hundred thirty thousand, two hundred forty".