26380386144 has 288 divisors, whose sum is σ = 90866280960. Its totient is φ = 7091712000.

The previous prime is 26380386121. The next prime is 26380386187. The reversal of 26380386144 is 44168308362.

26380386144 is a `hidden beast` number, since 2 + 638 + 0 + 3 + 8 + 6 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26380386144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5781624 + ... + 5786184.

It is an arithmetic number, because the mean of its divisors is an integer number (315507920).

Almost surely, 2^26380386144 is an apocalyptic number.

26380386144 is a gapful number since it is divisible by the number (24) 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 26380386144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45433140480).

26380386144 is an abundant number, since it is smaller than the sum of its proper divisors (64485894816).

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

26380386144 is a wasteful number, since it uses less digits than its factorization.

26380386144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 26380386144 in words is "twenty-six billion, three hundred eighty million, three hundred eighty-six thousand, one hundred forty-four".