26813067120 has 480 divisors, whose sum is σ = 107815099392. Its totient is φ = 6066026496.

The previous prime is 26813067107. The next prime is 26813067133. The reversal of 26813067120 is 2176031862.

26813067120 is a `hidden beast` number, since 268 + 1 + 306 + 71 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (26813067107) and next prime (26813067133).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14015284 + ... + 14017196.

Almost surely, 2^26813067120 is an apocalyptic number.

26813067120 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 26813067120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53907549696).

26813067120 is an abundant number, since it is smaller than the sum of its proper divisors (81002032272).

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

26813067120 is a wasteful number, since it uses less digits than its factorization.

26813067120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 26813067120 its reverse (2176031862), we get a palindrome (28989098982).

The spelling of 26813067120 in words is "twenty-six billion, eight hundred thirteen million, sixty-seven thousand, one hundred twenty".