268049295360 has 1152 divisors, whose sum is σ = 1202003712000. Its totient is φ = 55658741760.

The previous prime is 268049295341. The next prime is 268049295373. The reversal of 268049295360 is 63592940862.

It is a happy number.

268049295360 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 492 + 95 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 268049295297 and 268049295306.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191599941 + ... + 191601339.

It is an arithmetic number, because the mean of its divisors is an integer number (1043406000).

Almost surely, 2^268049295360 is an apocalyptic number.

268049295360 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 268049295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601001856000).

268049295360 is an abundant number, since it is smaller than the sum of its proper divisors (933954416640).

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

268049295360 is a wasteful number, since it uses less digits than its factorization.

268049295360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 268049295360 in words is "two hundred sixty-eight billion, forty-nine million, two hundred ninety-five thousand, three hundred sixty".