26326422144 has 512 divisors, whose sum is σ = 88833024000. Its totient is φ = 7603200000.

The previous prime is 26326422119. The next prime is 26326422251. The reversal of 26326422144 is 44122462362.

26326422144 is a `hidden beast` number, since 2 + 6 + 3 + 2 + 642 + 2 + 1 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26326422099 and 26326422108.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104886019 + ... + 104886269.

It is an arithmetic number, because the mean of its divisors is an integer number (173502000).

Almost surely, 2^26326422144 is an apocalyptic number.

26326422144 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 26326422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44416512000).

26326422144 is an abundant number, since it is smaller than the sum of its proper divisors (62506601856).

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

26326422144 is a wasteful number, since it uses less digits than its factorization.

26326422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The spelling of 26326422144 in words is "twenty-six billion, three hundred twenty-six million, four hundred twenty-two thousand, one hundred forty-four".