26422254144 has 336 divisors, whose sum is σ = 90499631040. Its totient is φ = 7264235520.

The previous prime is 26422254139. The next prime is 26422254179. The reversal of 26422254144 is 44145222462.

26422254144 is a `hidden beast` number, since 2 + 642 + 2 + 2 + 5 + 4 + 1 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 26422254099 and 26422254108.

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, 4856994 + ... + 4862430.

It is an arithmetic number, because the mean of its divisors is an integer number (269344140).

Almost surely, 2^26422254144 is an apocalyptic number.

26422254144 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 26422254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45249815520).

26422254144 is an abundant number, since it is smaller than the sum of its proper divisors (64077376896).

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

26422254144 is a wasteful number, since it uses less digits than its factorization.

26422254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5538 (or 5525 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The spelling of 26422254144 in words is "twenty-six billion, four hundred twenty-two million, two hundred fifty-four thousand, one hundred forty-four".