268401107520 has 2240 divisors, whose sum is σ = 1271413946880. Its totient is φ = 52171112448.

The previous prime is 268401107483. The next prime is 268401107543. The reversal of 268401107520 is 25701104862.

268401107520 is a `hidden beast` number, since 26 + 8 + 4 + 0 + 1 + 107 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2375230984 + ... + 2375231096.

It is an arithmetic number, because the mean of its divisors is an integer number (567595512).

Almost surely, 2^268401107520 is an apocalyptic number.

268401107520 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 268401107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635706973440).

268401107520 is an abundant number, since it is smaller than the sum of its proper divisors (1003012839360).

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

268401107520 is a wasteful number, since it uses less digits than its factorization.

268401107520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 268401107520 in words is "two hundred sixty-eight billion, four hundred one million, one hundred seven thousand, five hundred twenty".