253545520064 has 112 divisors (see below), whose sum is σ = 555964953600. Its totient is φ = 114255360000.

The previous prime is 253545520057. The next prime is 253545520079. The reversal of 253545520064 is 460025545352.

253545520064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×253545520064³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2167064 + ... + 2281064.

It is an arithmetic number, because the mean of its divisors is an integer number (4963972800).

Almost surely, 2^253545520064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253545520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277982476800).

253545520064 is an abundant number, since it is smaller than the sum of its proper divisors (302419433536).

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

253545520064 is a wasteful number, since it uses less digits than its factorization.

253545520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114122 (or 114112 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 41.

The spelling of 253545520064 in words is "two hundred fifty-three billion, five hundred forty-five million, five hundred twenty thousand, sixty-four".