268265560000 has 560 divisors, whose sum is σ = 742712256000. Its totient is φ = 95648256000.

The previous prime is 268265559973. The next prime is 268265560007. The reversal of 268265560000 is 65562862.

It is a happy number.

It is a super-2 number, since 2×268265560000² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268265560007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1800439926 + ... + 1800440074.

Almost surely, 2^268265560000 is an apocalyptic number.

268265560000 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 268265560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371356128000).

268265560000 is an abundant number, since it is smaller than the sum of its proper divisors (474446696000).

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

268265560000 is a wasteful number, since it uses less digits than its factorization.

268265560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 268265560000 in words is "two hundred sixty-eight billion, two hundred sixty-five million, five hundred sixty thousand".