268626492288000 has 6160 divisors, whose sum is σ = 1290475141132320. Its totient is φ = 55306395648000.

The previous prime is 268626492287957. The next prime is 268626492288041. The reversal of 268626492288000 is 882294626862.

268626492288000 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 264 + 92 + 288 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 2464463231946 + ... + 2464463232054.

Almost surely, 2^{268626492288000} is an apocalyptic number.

268626492288000 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 268626492288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645237570566160).

268626492288000 is an abundant number, since it is smaller than the sum of its proper divisors (1021848648844320).

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

268626492288000 is an frugal number, since it uses more digits than its factorization.

268626492288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 268626492288000 in words is "two hundred sixty-eight trillion, six hundred twenty-six billion, four hundred ninety-two million, two hundred eighty-eight thousand".