26725102263072 has 144 divisors (see below), whose sum is σ = 79626827079072. Its totient is φ = 8816528332800.

The previous prime is 26725102263029. The next prime is 26725102263091. The reversal of 26725102263072 is 27036220152762.

26725102263072 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 5 + 1 + 0 + 2 + 2 + 630 + 7 + 2 = 666.

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

It is a super-2 number, since 2×26725102263072² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16961554 + ... + 18470097.

It is an arithmetic number, because the mean of its divisors is an integer number (552964076938).

Almost surely, 2^{26725102263072} is an apocalyptic number.

It is an amenable number.

26725102263072 is an abundant number, since it is smaller than the sum of its proper divisors (52901724816000).

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

26725102263072 is an equidigital number, since it uses as much as digits as its factorization.

26725102263072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35431773 (or 35431753 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 26725102263072 in words is "twenty-six trillion, seven hundred twenty-five billion, one hundred two million, two hundred sixty-three thousand, seventy-two".