268120327234000 has 160 divisors (see below), whose sum is σ = 680571199226880. Its totient is φ = 102029385024000.

The previous prime is 268120327233989. The next prime is 268120327234003. The reversal of 268120327234000 is 432723021862.

268120327234000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (268120327234003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32990487 + ... + 40306486.

It is an arithmetic number, because the mean of its divisors is an integer number (4253569995168).

Almost surely, 2^{268120327234000} is an apocalyptic number.

268120327234000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268120327234000 is an abundant number, since it is smaller than the sum of its proper divisors (412450871992880).

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

268120327234000 is a wasteful number, since it uses less digits than its factorization.

268120327234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73297086 (or 73297070 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 268120327234000 in words is "two hundred sixty-eight trillion, one hundred twenty billion, three hundred twenty-seven million, two hundred thirty-four thousand".