253550388843360 has 576 divisors, whose sum is σ = 996250773772800. Its totient is φ = 57520584400896.

The previous prime is 253550388843293. The next prime is 253550388843361. The reversal of 253550388843360 is 63348883055352.

253550388843360 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 503 + 8 + 88 + 43 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253550388843361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9140560371 + ... + 9140588109.

It is an arithmetic number, because the mean of its divisors is an integer number (1729602037800).

Almost surely, 2^{253550388843360} is an apocalyptic number.

253550388843360 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 253550388843360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498125386886400).

253550388843360 is an abundant number, since it is smaller than the sum of its proper divisors (742700384929440).

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

253550388843360 is a wasteful number, since it uses less digits than its factorization.

253550388843360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34523 (or 34512 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 63.

The spelling of 253550388843360 in words is "two hundred fifty-three trillion, five hundred fifty billion, three hundred eighty-eight million, eight hundred forty-three thousand, three hundred sixty".