253232711424 has 1152 divisors, whose sum is σ = 987838709760. Its totient is φ = 62042112000.

The previous prime is 253232711419. The next prime is 253232711441. The reversal of 253232711424 is 424117232352.

253232711424 is a `hidden beast` number, since 2 + 532 + 3 + 2 + 7 + 114 + 2 + 4 = 666.

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

It is a super-2 number, since 2×253232711424² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1677037749 + ... + 1677037899.

It is an arithmetic number, because the mean of its divisors is an integer number (857498880).

Almost surely, 2^253232711424 is an apocalyptic number.

253232711424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253232711424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493919354880).

253232711424 is an abundant number, since it is smaller than the sum of its proper divisors (734605998336).

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

253232711424 is a wasteful number, since it uses less digits than its factorization.

253232711424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 334 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

Adding to 253232711424 its reverse (424117232352), we get a palindrome (677349943776).

The spelling of 253232711424 in words is "two hundred fifty-three billion, two hundred thirty-two million, seven hundred eleven thousand, four hundred twenty-four".