26714489760 has 144 divisors (see below), whose sum is σ = 104186549376. Its totient is φ = 6106166784.

The previous prime is 26714489743. The next prime is 26714489773. The reversal of 26714489760 is 6798441762.

26714489760 is a `hidden beast` number, since 26 + 71 + 4 + 489 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 26714489697 and 26714489706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1315044 + ... + 1335203.

It is an arithmetic number, because the mean of its divisors is an integer number (723517704).

Almost surely, 2^26714489760 is an apocalyptic number.

26714489760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26714489760 is an abundant number, since it is smaller than the sum of its proper divisors (77472059616).

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

26714489760 is a wasteful number, since it uses less digits than its factorization.

26714489760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650275 (or 2650264 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 26714489760 in words is "twenty-six billion, seven hundred fourteen million, four hundred eighty-nine thousand, seven hundred sixty".