26144238120 has 1536 divisors, whose sum is σ = 119140761600. Its totient is φ = 4490035200.

The previous prime is 26144238067. The next prime is 26144238139. The reversal of 26144238120 is 2183244162.

It is a super-2 number, since 2×26144238120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 443122651 + ... + 443122709.

It is an arithmetic number, because the mean of its divisors is an integer number (77565600).

Almost surely, 2^26144238120 is an apocalyptic number.

26144238120 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 26144238120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59570380800).

26144238120 is an abundant number, since it is smaller than the sum of its proper divisors (92996523480).

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

26144238120 is a wasteful number, since it uses less digits than its factorization.

26144238120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 26144238120 in words is "twenty-six billion, one hundred forty-four million, two hundred thirty-eight thousand, one hundred twenty".