268220169825024 has 144 divisors (see below), whose sum is σ = 717663077816832. Its totient is φ = 88931175542784.

The previous prime is 268220169824977. The next prime is 268220169825071. The reversal of 268220169825024 is 420528961022862.

It is an interprime number because it is at equal distance from previous prime (268220169824977) and next prime (268220169825071).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116548009 + ... + 118827095.

It is an arithmetic number, because the mean of its divisors is an integer number (4983771373728).

Almost surely, 2^{268220169825024} is an apocalyptic number.

268220169825024 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 268220169825024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358831538908416).

268220169825024 is an abundant number, since it is smaller than the sum of its proper divisors (449442907991808).

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

268220169825024 is a wasteful number, since it uses less digits than its factorization.

268220169825024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279922 (or 2279908 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 268220169825024 in words is "two hundred sixty-eight trillion, two hundred twenty billion, one hundred sixty-nine million, eight hundred twenty-five thousand, twenty-four".