253994895360 has 288 divisors, whose sum is σ = 918582275520. Its totient is φ = 64786563072.

The previous prime is 253994895359. The next prime is 253994895373. The reversal of 253994895360 is 63598499352.

253994895360 is a `hidden beast` number, since 2 + 5 + 3 + 9 + 94 + 8 + 9 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 2059767 + ... + 2179593.

It is an arithmetic number, because the mean of its divisors is an integer number (3189521790).

Almost surely, 2^253994895360 is an apocalyptic number.

253994895360 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 253994895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459291137760).

253994895360 is an abundant number, since it is smaller than the sum of its proper divisors (664587380160).

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

253994895360 is a wasteful number, since it uses less digits than its factorization.

253994895360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119883 (or 119860 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 253994895360 in words is "two hundred fifty-three billion, nine hundred ninety-four million, eight hundred ninety-five thousand, three hundred sixty".