253560952036224 has 384 divisors, whose sum is σ = 875714552294400. Its totient is φ = 71528943642624.

The previous prime is 253560952036219. The next prime is 253560952036253. The reversal of 253560952036224 is 422630259065352.

253560952036224 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 6 + 0 + 9 + 5 + 2 + 0 + 3 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9829774 + ... + 24571250.

It is an arithmetic number, because the mean of its divisors is an integer number (2280506646600).

Almost surely, 2^{253560952036224} is an apocalyptic number.

253560952036224 is a gapful number since it is divisible by the number (24) 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 253560952036224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437857276147200).

253560952036224 is an abundant number, since it is smaller than the sum of its proper divisors (622153600258176).

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

253560952036224 is an equidigital number, since it uses as much as digits as its factorization.

253560952036224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14741592 (or 14741568 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 253560952036224 in words is "two hundred fifty-three trillion, five hundred sixty billion, nine hundred fifty-two million, thirty-six thousand, two hundred twenty-four".