26967191320272 has 320 divisors, whose sum is σ = 82454770810880. Its totient is φ = 7433881878528.

The previous prime is 26967191320219. The next prime is 26967191320273. The reversal of 26967191320272 is 27202319176962.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26967191320273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4842373104 + ... + 4842378672.

It is an arithmetic number, because the mean of its divisors is an integer number (257671158784).

Almost surely, 2^{26967191320272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26967191320272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41227385405440).

26967191320272 is an abundant number, since it is smaller than the sum of its proper divisors (55487579490608).

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

26967191320272 is a wasteful number, since it uses less digits than its factorization.

26967191320272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8818 (or 8812 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 26967191320272 in words is "twenty-six trillion, nine hundred sixty-seven billion, one hundred ninety-one million, three hundred twenty thousand, two hundred seventy-two".