268279311276000 has 1536 divisors, whose sum is σ = 1019183570496000. Its totient is φ = 68494491648000.

The previous prime is 268279311275951. The next prime is 268279311276023. The reversal of 268279311276000 is 672113972862.

It is a happy number.

268279311276000 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 7 + 9 + 3 + 1 + 1 + 27 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 53990601516 + ... + 53990606484.

It is an arithmetic number, because the mean of its divisors is an integer number (663530970375).

Almost surely, 2^{268279311276000} is an apocalyptic number.

268279311276000 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 268279311276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509591785248000).

268279311276000 is an abundant number, since it is smaller than the sum of its proper divisors (750904259220000).

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

268279311276000 is a wasteful number, since it uses less digits than its factorization.

268279311276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270 (or 5246 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 268279311276000 in words is "two hundred sixty-eight trillion, two hundred seventy-nine billion, three hundred eleven million, two hundred seventy-six thousand".