268940721513600 has 288 divisors, whose sum is σ = 990598327530240. Its totient is φ = 69404056934400.

The previous prime is 268940721513571. The next prime is 268940721513661. The reversal of 268940721513600 is 6315127049862.

It is a happy number.

268940721513600 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 4 + 0 + 7 + 2 + 15 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×268940721513600² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149723644 + ... + 151509243.

It is a 1-persistent number, because it is pandigital, but 2⋅268940721513600 = 537881443027200 is not.

Almost surely, 2^{268940721513600} is an apocalyptic number.

268940721513600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268940721513600 is an abundant number, since it is smaller than the sum of its proper divisors (721657606016640).

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

268940721513600 is a wasteful number, since it uses less digits than its factorization.

268940721513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301232948 (or 301232928 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 268940721513600 in words is "two hundred sixty-eight trillion, nine hundred forty billion, seven hundred twenty-one million, five hundred thirteen thousand, six hundred".