268679160000 has 560 divisors, whose sum is σ = 992901544800. Its totient is φ = 71221248000.

The previous prime is 268679159971. The next prime is 268679160017. The reversal of 268679160000 is 61976862.

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 79 ways as a sum of consecutive naturals, for example, 208439356 + ... + 208440644.

Almost surely, 2^268679160000 is an apocalyptic number.

268679160000 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 268679160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496450772400).

268679160000 is an abundant number, since it is smaller than the sum of its proper divisors (724222384800).

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

268679160000 is a wasteful number, since it uses less digits than its factorization.

268679160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 268679160000 in words is "two hundred sixty-eight billion, six hundred seventy-nine million, one hundred sixty thousand".