268145095680 has 1408 divisors, whose sum is σ = 1206615121920. Its totient is φ = 55539302400.

The previous prime is 268145095609. The next prime is 268145095681. The reversal of 268145095680 is 86590541862.

268145095680 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 4 + 509 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268145095681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 862202725 + ... + 862203035.

Almost surely, 2^268145095680 is an apocalyptic number.

268145095680 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 268145095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603307560960).

268145095680 is an abundant number, since it is smaller than the sum of its proper divisors (938470026240).

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

268145095680 is an equidigital number, since it uses as much as digits as its factorization.

268145095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 268145095680 in words is "two hundred sixty-eight billion, one hundred forty-five million, ninety-five thousand, six hundred eighty".