268420977719388 has 144 divisors (see below), whose sum is σ = 732600895178880. Its totient is φ = 82376661806208.

The previous prime is 268420977719357. The next prime is 268420977719407. The reversal of 268420977719388 is 883917779024862.

268420977719388 is a `hidden beast` number, since 2 + 6 + 8 + 420 + 97 + 7 + 71 + 9 + 38 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281770143 + ... + 282721161.

It is an arithmetic number, because the mean of its divisors is an integer number (5087506216520).

Almost surely, 2^{268420977719388} 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 268420977719388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366300447589440).

268420977719388 is an abundant number, since it is smaller than the sum of its proper divisors (464179917459492).

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

268420977719388 is a wasteful number, since it uses less digits than its factorization.

268420977719388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952608 (or 952603 counting only the distinct ones).

The product of its (nonzero) digits is 4096770048, while the sum is 81.

The spelling of 268420977719388 in words is "two hundred sixty-eight trillion, four hundred twenty billion, nine hundred seventy-seven million, seven hundred nineteen thousand, three hundred eighty-eight".