253456128000 has 960 divisors, whose sum is σ = 1001771971200. Its totient is φ = 63524044800.

The previous prime is 253456127989. The next prime is 253456128041. The reversal of 253456128000 is 821654352.

253456128000 is a `hidden beast` number, since 2 + 5 + 34 + 5 + 612 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 352511641 + ... + 352512359.

It is an arithmetic number, because the mean of its divisors is an integer number (1043512470).

Almost surely, 2^253456128000 is an apocalyptic number.

253456128000 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 253456128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500885985600).

253456128000 is an abundant number, since it is smaller than the sum of its proper divisors (748315843200).

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

253456128000 is an equidigital number, since it uses as much as digits as its factorization.

253456128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 253456128000 in words is "two hundred fifty-three billion, four hundred fifty-six million, one hundred twenty-eight thousand".