268151569920 has 720 divisors, whose sum is σ = 1065033498672. Its totient is φ = 62108467200.

The previous prime is 268151569901. The next prime is 268151569927. The reversal of 268151569920 is 29965151862.

268151569920 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 51 + 569 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268151569927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66191895 + ... + 66195945.

Almost surely, 2^268151569920 is an apocalyptic number.

268151569920 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 268151569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532516749336).

268151569920 is an abundant number, since it is smaller than the sum of its proper divisors (796881928752).

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

268151569920 is a wasteful number, since it uses less digits than its factorization.

268151569920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4123 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 268151569920 in words is "two hundred sixty-eight billion, one hundred fifty-one million, five hundred sixty-nine thousand, nine hundred twenty".