268190980699488 has 384 divisors, whose sum is σ = 911266652749824. Its totient is φ = 67023218534400.

The previous prime is 268190980699459. The next prime is 268190980699573. The reversal of 268190980699488 is 884996089091862.

It is a happy number.

268190980699488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36260745 + ... + 43025847.

It is an arithmetic number, because the mean of its divisors is an integer number (2373090241536).

Almost surely, 2^{268190980699488} is an apocalyptic number.

268190980699488 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 268190980699488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455633326374912).

268190980699488 is an abundant number, since it is smaller than the sum of its proper divisors (643075672050336).

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

268190980699488 is a wasteful number, since it uses less digits than its factorization.

268190980699488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6765338 (or 6765330 counting only the distinct ones).

The product of its (nonzero) digits is 7739670528, while the sum is 87.

The spelling of 268190980699488 in words is "two hundred sixty-eight trillion, one hundred ninety billion, nine hundred eighty million, six hundred ninety-nine thousand, four hundred eighty-eight".