26601501161600 has 48 divisors (see below), whose sum is σ = 65714020846170. Its totient is φ = 10640600463360.

The previous prime is 26601501161593. The next prime is 26601501161611. The reversal of 26601501161600 is 616110510662.

It can be written as a sum of positive squares in 3 ways, for example, as 16070541580864 + 10530959580736 = 4008808^2 + 3245144^2 .

It is a super-2 number, since 2×26601501161600² (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 (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4156481357 + ... + 4156487756.

Almost surely, 2^{26601501161600} is an apocalyptic number.

26601501161600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26601501161600 is an abundant number, since it is smaller than the sum of its proper divisors (39112519684570).

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

26601501161600 is an equidigital number, since it uses as much as digits as its factorization.

26601501161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312969137 (or 8312969120 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 26601501161600 in words is "twenty-six trillion, six hundred one billion, five hundred one million, one hundred sixty-one thousand, six hundred".