26705075040 has 288 divisors, whose sum is σ = 104591462976. Its totient is φ = 6078136320.

The previous prime is 26705075029. The next prime is 26705075057. The reversal of 26705075040 is 4057050762.

26705075040 is a `hidden beast` number, since 2 + 67 + 0 + 507 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×26705075040² (a number of 22 digits) contains 22 as substring.

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 = 26705074986 and 26705075004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2423784 + ... + 2434776.

It is an arithmetic number, because the mean of its divisors is an integer number (363164802).

Almost surely, 2^26705075040 is an apocalyptic number.

26705075040 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 26705075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52295731488).

26705075040 is an abundant number, since it is smaller than the sum of its proper divisors (77886387936).

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

26705075040 is a wasteful number, since it uses less digits than its factorization.

26705075040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11262 (or 11251 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 26705075040 in words is "twenty-six billion, seven hundred five million, seventy-five thousand, forty".