268786238697120 has 384 divisors, whose sum is σ = 884354172210432. Its totient is φ = 68554012262400.

The previous prime is 268786238697103. The next prime is 268786238697127. The reversal of 268786238697120 is 21796832687862.

268786238697120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×268786238697120² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268786238697127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1795052655 + ... + 1795202385.

It is an arithmetic number, because the mean of its divisors is an integer number (2303005656798).

Almost surely, 2^{268786238697120} is an apocalyptic number.

268786238697120 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 268786238697120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442177086105216).

268786238697120 is an abundant number, since it is smaller than the sum of its proper divisors (615567933513312).

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

268786238697120 is a wasteful number, since it uses less digits than its factorization.

268786238697120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151504 (or 151496 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 75.

The spelling of 268786238697120 in words is "two hundred sixty-eight trillion, seven hundred eighty-six billion, two hundred thirty-eight million, six hundred ninety-seven thousand, one hundred twenty".