253798649280 has 336 divisors, whose sum is σ = 970296503904. Its totient is φ = 60365660160.

The previous prime is 253798649189. The next prime is 253798649317. The reversal of 253798649280 is 82946897352.

253798649280 is a `hidden beast` number, since 2 + 53 + 7 + 98 + 6 + 492 + 8 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1603462 + ... + 1754618.

It is an arithmetic number, because the mean of its divisors is an integer number (2887787214).

Almost surely, 2^253798649280 is an apocalyptic number.

253798649280 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 253798649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485148251952).

253798649280 is an abundant number, since it is smaller than the sum of its proper divisors (716497854624).

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

253798649280 is a wasteful number, since it uses less digits than its factorization.

253798649280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151244 (or 151231 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 253798649280 in words is "two hundred fifty-three billion, seven hundred ninety-eight million, six hundred forty-nine thousand, two hundred eighty".