26706820623120 has 320 divisors, whose sum is σ = 100364376268800. Its totient is φ = 6473640476160.

The previous prime is 26706820623107. The next prime is 26706820623149. The reversal of 26706820623120 is 2132602860762.

26706820623120 is a `hidden beast` number, since 2 + 6 + 7 + 0 + 6 + 8 + 2 + 0 + 623 + 12 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224211099 + ... + 224330181.

It is an arithmetic number, because the mean of its divisors is an integer number (313638675840).

Almost surely, 2^{26706820623120} is an apocalyptic number.

26706820623120 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 26706820623120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50182188134400).

26706820623120 is an abundant number, since it is smaller than the sum of its proper divisors (73657555645680).

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

26706820623120 is a wasteful number, since it uses less digits than its factorization.

26706820623120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128555 (or 128543 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 26706820623120 in words is "twenty-six trillion, seven hundred six billion, eight hundred twenty million, six hundred twenty-three thousand, one hundred twenty".