253209641545728 has 832 divisors, whose sum is σ = 903813843517440. Its totient is φ = 68521962700800.

The previous prime is 253209641545673. The next prime is 253209641545789. The reversal of 253209641545728 is 827545146902352.

253209641545728 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 0 + 9 + 6 + 4 + 1 + 54 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 1127815563 + ... + 1128040053.

It is a 1-persistent number, because it is pandigital, but 2⋅253209641545728 = 506419283091456 is not.

Almost surely, 2^{253209641545728} is an apocalyptic number.

253209641545728 is a gapful number since it is divisible by the number (28) 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 253209641545728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451906921758720).

253209641545728 is an abundant number, since it is smaller than the sum of its proper divisors (650604201971712).

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

253209641545728 is a wasteful number, since it uses less digits than its factorization.

253209641545728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224609 (or 224581 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 253209641545728 in words is "two hundred fifty-three trillion, two hundred nine billion, six hundred forty-one million, five hundred forty-five thousand, seven hundred twenty-eight".