26206679400000 has 1344 divisors, whose sum is σ = 98363141856000. Its totient is φ = 6099251200000.

The previous prime is 26206679399963. The next prime is 26206679400043. The reversal of 26206679400000 is 497660262.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51486599746 + ... + 51486600254.

It is an arithmetic number, because the mean of its divisors is an integer number (73186861500).

Almost surely, 2^{26206679400000} is an apocalyptic number.

26206679400000 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 26206679400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49181570928000).

26206679400000 is an abundant number, since it is smaller than the sum of its proper divisors (72156462456000).

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

26206679400000 is a wasteful number, since it uses less digits than its factorization.

26206679400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 26206679400000 in words is "twenty-six trillion, two hundred six billion, six hundred seventy-nine million, four hundred thousand".