268290441709920 has 288 divisors, whose sum is σ = 1101402866753280. Its totient is φ = 58095975306240.

The previous prime is 268290441709907. The next prime is 268290441709933. The reversal of 268290441709920 is 29907144092862.

268290441709920 is a `hidden beast` number, since 2 + 6 + 82 + 9 + 0 + 441 + 7 + 0 + 99 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (268290441709907) and next prime (268290441709933).

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

It is a super-2 number, since 2×268290441709920² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 700232566 + ... + 700615605.

It is an arithmetic number, because the mean of its divisors is an integer number (3824315509560).

Almost surely, 2^{268290441709920} is an apocalyptic number.

268290441709920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268290441709920 is an abundant number, since it is smaller than the sum of its proper divisors (833112425043360).

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

268290441709920 is a wasteful number, since it uses less digits than its factorization.

268290441709920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400848218 (or 1400848207 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 268290441709920 in words is "two hundred sixty-eight trillion, two hundred ninety billion, four hundred forty-one million, seven hundred nine thousand, nine hundred twenty".