26144639136 has 576 divisors, whose sum is σ = 99945861120. Its totient is φ = 6568128000.

The previous prime is 26144639119. The next prime is 26144639177. The reversal of 26144639136 is 63193644162.

26144639136 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 4 + 639 + 1 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26144639091 and 26144639100.

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, 14435671 + ... + 14437481.

It is an arithmetic number, because the mean of its divisors is an integer number (173517120).

Almost surely, 2^26144639136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26144639136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49972930560).

26144639136 is an abundant number, since it is smaller than the sum of its proper divisors (73801221984).

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

26144639136 is a wasteful number, since it uses less digits than its factorization.

26144639136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1865 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 26144639136 in words is "twenty-six billion, one hundred forty-four million, six hundred thirty-nine thousand, one hundred thirty-six".