26405697795048 has 256 divisors, whose sum is σ = 89919070617600. Its totient is φ = 7065069454080.

The previous prime is 26405697795041. The next prime is 26405697795049. The reversal of 26405697795048 is 84059779650462.

26405697795048 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 569 + 7 + 7 + 9 + 50 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (26405697795041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17874040 + ... + 19294887.

It is an arithmetic number, because the mean of its divisors is an integer number (351246369600).

Almost surely, 2^{26405697795048} is an apocalyptic number.

It is an amenable number.

26405697795048 is an abundant number, since it is smaller than the sum of its proper divisors (63513372822552).

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

26405697795048 is a wasteful number, since it uses less digits than its factorization.

26405697795048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37168989 (or 37168979 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 26405697795048 in words is "twenty-six trillion, four hundred five billion, six hundred ninety-seven million, seven hundred ninety-five thousand, forty-eight".