268025472000 has 1056 divisors, whose sum is σ = 1135401531264. Its totient is φ = 59940864000.

The previous prime is 268025471941. The next prime is 268025472061. The reversal of 268025472000 is 274520862.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 164735187 + ... + 164736813.

It is an arithmetic number, because the mean of its divisors is an integer number (1075190844).

Almost surely, 2^268025472000 is an apocalyptic number.

268025472000 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 268025472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567700765632).

268025472000 is an abundant number, since it is smaller than the sum of its proper divisors (867376059264).

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

268025472000 is a wasteful number, since it uses less digits than its factorization.

268025472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 268025472000 its reverse (274520862), we get a palindrome (268299992862).

The spelling of 268025472000 in words is "two hundred sixty-eight billion, twenty-five million, four hundred seventy-two thousand".