268221712711680 has 7200 divisors, whose sum is σ = 1312139237713920. Its totient is φ = 51796550615040.

The previous prime is 268221712711621. The next prime is 268221712711747. The reversal of 268221712711680 is 86117217122862.

268221712711680 is a `hidden beast` number, since 2 + 6 + 8 + 221 + 71 + 271 + 1 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3013727109076 + ... + 3013727109164.

Almost surely, 2^{268221712711680} is an apocalyptic number.

268221712711680 is a gapful number since it is divisible by the number (20) 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 268221712711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656069618856960).

268221712711680 is an abundant number, since it is smaller than the sum of its proper divisors (1043917525002240).

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

268221712711680 is a wasteful number, since it uses less digits than its factorization.

268221712711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 268221712711680 in words is "two hundred sixty-eight trillion, two hundred twenty-one billion, seven hundred twelve million, seven hundred eleven thousand, six hundred eighty".