26142256016000 has 128 divisors (see below), whose sum is σ = 67237432938000. Its totient is φ = 10096319385600.

The previous prime is 26142256015987. The next prime is 26142256016021. The reversal of 26142256016000 is 61065224162.

It can be written as a sum of positive squares in 8 ways, for example, as 6225743580736 + 19916512435264 = 2495144^2 + 4462792^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27706535 + ... + 28634534.

Almost surely, 2^{26142256016000} is an apocalyptic number.

26142256016000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26142256016000 is an abundant number, since it is smaller than the sum of its proper divisors (41095176922000).

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

26142256016000 is an equidigital number, since it uses as much as digits as its factorization.

26142256016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56341127 (or 56341105 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 26142256016000 in words is "twenty-six trillion, one hundred forty-two billion, two hundred fifty-six million, sixteen thousand".