253781268480 has 576 divisors, whose sum is σ = 924398092800. Its totient is φ = 66766602240.

The previous prime is 253781268457. The next prime is 253781268493. The reversal of 253781268480 is 84862187352.

253781268480 is a `hidden beast` number, since 2 + 5 + 37 + 8 + 126 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×253781268480³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196576635 + ... + 196577925.

It is an arithmetic number, because the mean of its divisors is an integer number (1604857800).

Almost surely, 2^253781268480 is an apocalyptic number.

253781268480 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 253781268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462199046400).

253781268480 is an abundant number, since it is smaller than the sum of its proper divisors (670616824320).

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

253781268480 is an equidigital number, since it uses as much as digits as its factorization.

253781268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 253781268480 in words is "two hundred fifty-three billion, seven hundred eighty-one million, two hundred sixty-eight thousand, four hundred eighty".