26681102240000 has 360 divisors, whose sum is σ = 71713779244800. Its totient is φ = 9845535744000.

The previous prime is 26681102239937. The next prime is 26681102240003. The reversal of 26681102240000 is 4220118662.

It is a super-3 number, since 3×26681102240000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (26681102240003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4989917327 + ... + 4989922673.

Almost surely, 2^{26681102240000} is an apocalyptic number.

26681102240000 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 26681102240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35856889622400).

26681102240000 is an abundant number, since it is smaller than the sum of its proper divisors (45032677004800).

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

26681102240000 is an equidigital number, since it uses as much as digits as its factorization.

26681102240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7795 (or 7766 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 26681102240000 its reverse (4220118662), we get a palindrome (26685322358662).

The spelling of 26681102240000 in words is "twenty-six trillion, six hundred eighty-one billion, one hundred two million, two hundred forty thousand".