268799731200 has 3600 divisors, whose sum is σ = 1396337597424. Its totient is φ = 50164531200.

The previous prime is 268799731171. The next prime is 268799731253. The reversal of 268799731200 is 2137997862.

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7264857582 + ... + 7264857618.

Almost surely, 2^268799731200 is an apocalyptic number.

268799731200 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 268799731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698168798712).

268799731200 is an abundant number, since it is smaller than the sum of its proper divisors (1127537866224).

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

268799731200 is a wasteful number, since it uses less digits than its factorization.

268799731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

It can be divided in two parts, 268799 and 731200, that added together give a palindrome (999999).

The spelling of 268799731200 in words is "two hundred sixty-eight billion, seven hundred ninety-nine million, seven hundred thirty-one thousand, two hundred".