26427120094080 has 384 divisors, whose sum is σ = 92546126899200. Its totient is φ = 6947874385920.

The previous prime is 26427120094069. The next prime is 26427120094117. The reversal of 26427120094080 is 8049002172462.

26427120094080 is a `hidden beast` number, since 2 + 64 + 271 + 200 + 9 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314390617 + ... + 314474663.

It is an arithmetic number, because the mean of its divisors is an integer number (241005538800).

Almost surely, 2^{26427120094080} is an apocalyptic number.

26427120094080 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 26427120094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46273063449600).

26427120094080 is an abundant number, since it is smaller than the sum of its proper divisors (66119006805120).

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

26427120094080 is a wasteful number, since it uses less digits than its factorization.

26427120094080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84842 (or 84827 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 26427120094080 in words is "twenty-six trillion, four hundred twenty-seven billion, one hundred twenty million, ninety-four thousand, eighty".