26563703040 has 864 divisors, whose sum is σ = 111959527680. Its totient is φ = 5685313536.

The previous prime is 26563703017. The next prime is 26563703051. The reversal of 26563703040 is 4030736562.

26563703040 is a `hidden beast` number, since 26 + 563 + 7 + 0 + 30 + 40 = 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 = 26563702986 and 26563703004.

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, 86526567 + ... + 86526873.

Almost surely, 2^26563703040 is an apocalyptic number.

26563703040 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 26563703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55979763840).

26563703040 is an abundant number, since it is smaller than the sum of its proper divisors (85395824640).

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

26563703040 is a wasteful number, since it uses less digits than its factorization.

26563703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 26563703040 in words is "twenty-six billion, five hundred sixty-three million, seven hundred three thousand, forty".