253517963881728 has 576 divisors, whose sum is σ = 834787380510720. Its totient is φ = 66511956639744.

The previous prime is 253517963881709. The next prime is 253517963881729. The reversal of 253517963881728 is 827188369715352.

It is a self number, because there is not a number n which added to its sum of digits gives 253517963881728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253517963881729) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 16920366525 + ... + 16920381507.

It is an arithmetic number, because the mean of its divisors is an integer number (1449283646720).

Almost surely, 2^{253517963881728} is an apocalyptic number.

253517963881728 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 253517963881728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417393690255360).

253517963881728 is an abundant number, since it is smaller than the sum of its proper divisors (581269416628992).

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

253517963881728 is a wasteful number, since it uses less digits than its factorization.

253517963881728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16274 (or 16260 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 75.

The spelling of 253517963881728 in words is "two hundred fifty-three trillion, five hundred seventeen billion, nine hundred sixty-three million, eight hundred eighty-one thousand, seven hundred twenty-eight".