253275213600 has 432 divisors, whose sum is σ = 941533800480. Its totient is φ = 63888998400.

The previous prime is 253275213599. The next prime is 253275213601. The reversal of 253275213600 is 6312572352.

253275213600 is a `hidden beast` number, since 2 + 5 + 3 + 27 + 5 + 21 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (253275213599) and next prime (253275213601).

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

It is not an unprimeable number, because it can be changed into a prime (253275213601) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 149247952 + ... + 149249648.

It is an arithmetic number, because the mean of its divisors is an integer number (2179476390).

Almost surely, 2^253275213600 is an apocalyptic number.

253275213600 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 253275213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470766900240).

253275213600 is an abundant number, since it is smaller than the sum of its proper divisors (688258586880).

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

253275213600 is a wasteful number, since it uses less digits than its factorization.

253275213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2817 counting only the distinct ones).

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

Adding to 253275213600 its reverse (6312572352), we get a palindrome (259587785952).

The spelling of 253275213600 in words is "two hundred fifty-three billion, two hundred seventy-five million, two hundred thirteen thousand, six hundred".