26914609920 has 288 divisors, whose sum is σ = 94029755904. Its totient is φ = 6506905600.

The previous prime is 26914609919. The next prime is 26914609921. The reversal of 26914609920 is 2990641962.

It is an interprime number because it is at equal distance from previous prime (26914609919) and next prime (26914609921).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26914609920.

It is not an unprimeable number, because it can be changed into a prime (26914609921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22006429 + ... + 22007651.

It is an arithmetic number, because the mean of its divisors is an integer number (326492208).

Almost surely, 2^26914609920 is an apocalyptic number.

26914609920 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 26914609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47014877952).

26914609920 is an abundant number, since it is smaller than the sum of its proper divisors (67115145984).

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

26914609920 is a wasteful number, since it uses less digits than its factorization.

26914609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 26914609920 in words is "twenty-six billion, nine hundred fourteen million, six hundred nine thousand, nine hundred twenty".