26572281120 has 1536 divisors, whose sum is σ = 127083479040. Its totient is φ = 5016453120.

The previous prime is 26572281107. The next prime is 26572281121. The reversal of 26572281120 is 2118227562.

It is a happy number.

26572281120 is a `hidden beast` number, since 2 + 6 + 572 + 2 + 81 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×26572281120² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (26572281121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 209230497 + ... + 209230623.

It is an arithmetic number, because the mean of its divisors is an integer number (82736640).

Almost surely, 2^26572281120 is an apocalyptic number.

26572281120 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 26572281120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63541739520).

26572281120 is an abundant number, since it is smaller than the sum of its proper divisors (100511197920).

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

26572281120 is a wasteful number, since it uses less digits than its factorization.

26572281120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 26572281120 in words is "twenty-six billion, five hundred seventy-two million, two hundred eighty-one thousand, one hundred twenty".