26270023680 has 600 divisors, whose sum is σ = 97629407568. Its totient is φ = 6752305152.

The previous prime is 26270023679. The next prime is 26270023697. The reversal of 26270023680 is 8632007262.

26270023680 is a `hidden beast` number, since 2 + 627 + 0 + 0 + 23 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×26270023680² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245514187 + ... + 245514293.

Almost surely, 2^26270023680 is an apocalyptic number.

26270023680 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 26270023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48814703784).

26270023680 is an abundant number, since it is smaller than the sum of its proper divisors (71359383888).

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

26270023680 is an equidigital number, since it uses as much as digits as its factorization.

26270023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 26270023680 in words is "twenty-six billion, two hundred seventy million, twenty-three thousand, six hundred eighty".