26389440000 has 1800 divisors, whose sum is σ = 127878821928. Its totient is φ = 5160960000.

The previous prime is 26389439987. The next prime is 26389440041. The reversal of 26389440000 is 4498362.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1552319992 + ... + 1552320008.

Almost surely, 2^26389440000 is an apocalyptic number.

26389440000 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 26389440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63939410964).

26389440000 is an abundant number, since it is smaller than the sum of its proper divisors (101489381928).

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

26389440000 is a wasteful number, since it uses less digits than its factorization.

26389440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 26389440000 in words is "twenty-six billion, three hundred eighty-nine million, four hundred forty thousand".