26912705040 has 480 divisors, whose sum is σ = 104984530560. Its totient is φ = 6121267200.

The previous prime is 26912704997. The next prime is 26912705047. The reversal of 26912705040 is 4050721962.

26912705040 is a `hidden beast` number, since 26 + 9 + 127 + 0 + 504 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 26912704986 and 26912705004.

It is not an unprimeable number, because it can be changed into a prime (26912705047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7289595 + ... + 7293285.

It is an arithmetic number, because the mean of its divisors is an integer number (218717772).

Almost surely, 2^26912705040 is an apocalyptic number.

26912705040 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 26912705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52492265280).

26912705040 is an abundant number, since it is smaller than the sum of its proper divisors (78071825520).

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

26912705040 is a wasteful number, since it uses less digits than its factorization.

26912705040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 26912705040 in words is "twenty-six billion, nine hundred twelve million, seven hundred five thousand, forty".