268393257000 has 1536 divisors, whose sum is σ = 1098974822400. Its totient is φ = 60652800000.

The previous prime is 268393256939. The next prime is 268393257073. The reversal of 268393257000 is 752393862.

268393257000 is a `hidden beast` number, since 2 + 6 + 8 + 393 + 257 + 0 + 0 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 3397382961 + ... + 3397383039.

It is an arithmetic number, because the mean of its divisors is an integer number (715478400).

Almost surely, 2^268393257000 is an apocalyptic number.

268393257000 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 268393257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549487411200).

268393257000 is an abundant number, since it is smaller than the sum of its proper divisors (830581565400).

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

268393257000 is a wasteful number, since it uses less digits than its factorization.

268393257000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 268393257000 in words is "two hundred sixty-eight billion, three hundred ninety-three million, two hundred fifty-seven thousand".