26144261253 has 48 divisors (see below), whose sum is σ = 43273451520. Its totient is φ = 15055524000.

The previous prime is 26144261197. The next prime is 26144261263. The reversal of 26144261253 is 35216244162.

26144261253 is a `hidden beast` number, since 2 + 6 + 144 + 261 + 253 = 666.

It is not a de Polignac number, because 26144261253 - 2⁹ = 26144260741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26144261263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305808 + ... + 381846.

It is an arithmetic number, because the mean of its divisors is an integer number (901530240).

Almost surely, 2^26144261253 is an apocalyptic number.

26144261253 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

26144261253 is a deficient number, since it is larger than the sum of its proper divisors (17129190267).

26144261253 is a wasteful number, since it uses less digits than its factorization.

26144261253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76230 (or 76227 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 26144261253 in words is "twenty-six billion, one hundred forty-four million, two hundred sixty-one thousand, two hundred fifty-three".