268997040000 has 960 divisors, whose sum is σ = 1078687209600. Its totient is φ = 63866880000.

The previous prime is 268997039999. The next prime is 268997040023. The reversal of 268997040000 is 40799862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

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, 271439505 + ... + 271440495.

It is an arithmetic number, because the mean of its divisors is an integer number (1123632510).

Almost surely, 2^268997040000 is an apocalyptic number.

268997040000 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 268997040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539343604800).

268997040000 is an abundant number, since it is smaller than the sum of its proper divisors (809690169600).

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

268997040000 is a wasteful number, since it uses less digits than its factorization.

268997040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1043 counting only the distinct ones).

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

The spelling of 268997040000 in words is "two hundred sixty-eight billion, nine hundred ninety-seven million, forty thousand".