253383641280 has 2016 divisors, whose sum is σ = 1190355678720. Its totient is φ = 49177497600.

The previous prime is 253383641279. The next prime is 253383641281. The reversal of 253383641280 is 82146383352.

253383641280 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 8 + 364 + 1 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (253383641279) and next prime (253383641281).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253383641281) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3568783645 + ... + 3568783715.

Almost surely, 2^253383641280 is an apocalyptic number.

253383641280 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 253383641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595177839360).

253383641280 is an abundant number, since it is smaller than the sum of its proper divisors (936972037440).

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

253383641280 is a wasteful number, since it uses less digits than its factorization.

253383641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 253383641280 in words is "two hundred fifty-three billion, three hundred eighty-three million, six hundred forty-one thousand, two hundred eighty".