253282019827200 has 1440 divisors, whose sum is σ = 1061451422760960. Its totient is φ = 52762868121600.

The previous prime is 253282019827189. The next prime is 253282019827201. The reversal of 253282019827200 is 2728910282352.

It is a happy number.

It is a super-2 number, since 2×253282019827200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253282019827201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1932337665 + ... + 1932468735.

It is an arithmetic number, because the mean of its divisors is an integer number (737119043584).

Almost surely, 2^{253282019827200} is an apocalyptic number.

253282019827200 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 253282019827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530725711380480).

253282019827200 is an abundant number, since it is smaller than the sum of its proper divisors (808169402933760).

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

253282019827200 is a wasteful number, since it uses less digits than its factorization.

253282019827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131208 (or 131180 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 253282019827200 in words is "two hundred fifty-three trillion, two hundred eighty-two billion, nineteen million, eight hundred twenty-seven thousand, two hundred".