253255327101840 has 320 divisors, whose sum is σ = 925521433551360. Its totient is φ = 56076467650560.

The previous prime is 253255327101811. The next prime is 253255327101893. The reversal of 253255327101840 is 48101723552352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 253255327101840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5338900 + ... + 23130380.

It is an arithmetic number, because the mean of its divisors is an integer number (2892254479848).

Almost surely, 2^{253255327101840} is an apocalyptic number.

253255327101840 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 253255327101840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462760716775680).

253255327101840 is an abundant number, since it is smaller than the sum of its proper divisors (672266106449520).

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

253255327101840 is a wasteful number, since it uses less digits than its factorization.

253255327101840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17791770 (or 17791764 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 253255327101840 in words is "two hundred fifty-three trillion, two hundred fifty-five billion, three hundred twenty-seven million, one hundred one thousand, eight hundred forty".