253105432320 has 864 divisors, whose sum is σ = 916972019712. Its totient is φ = 59417100288.

The previous prime is 253105432301. The next prime is 253105432337. The reversal of 253105432320 is 23234501352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1992956097 + ... + 1992956223.

It is an arithmetic number, because the mean of its divisors is an integer number (1061310208).

Almost surely, 2^253105432320 is an apocalyptic number.

253105432320 is a gapful number since it is divisible by the number (20) 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 253105432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458486009856).

253105432320 is an abundant number, since it is smaller than the sum of its proper divisors (663866587392).

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

253105432320 is a wasteful number, since it uses less digits than its factorization.

253105432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 253105432320 its reverse (23234501352), we get a palindrome (276339933672).

The spelling of 253105432320 in words is "two hundred fifty-three billion, one hundred five million, four hundred thirty-two thousand, three hundred twenty".