268375161600 has 1080 divisors, whose sum is σ = 1221513450080. Its totient is φ = 56614256640.

The previous prime is 268375161577. The next prime is 268375161653. The reversal of 268375161600 is 6161573862.

268375161600 is a `hidden beast` number, since 2 + 6 + 8 + 37 + 5 + 1 + 6 + 1 + 600 = 666.

268375161600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×268375161600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47171556 + ... + 47177244.

Almost surely, 2^268375161600 is an apocalyptic number.

268375161600 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 268375161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610756725040).

268375161600 is an abundant number, since it is smaller than the sum of its proper divisors (953138288480).

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

268375161600 is a wasteful number, since it uses less digits than its factorization.

268375161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 268375161600 in words is "two hundred sixty-eight billion, three hundred seventy-five million, one hundred sixty-one thousand, six hundred".