26421567144 has 128 divisors (see below), whose sum is σ = 81562464000. Its totient is φ = 7104921600.

The previous prime is 26421567119. The next prime is 26421567169. The reversal of 26421567144 is 44176512462.

It is an interprime number because it is at equal distance from previous prime (26421567119) and next prime (26421567169).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 26421567096 and 26421567105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45544 + ... + 234344.

It is an arithmetic number, because the mean of its divisors is an integer number (637206750).

Almost surely, 2^26421567144 is an apocalyptic number.

26421567144 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 26421567144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40781232000).

26421567144 is an abundant number, since it is smaller than the sum of its proper divisors (55140896856).

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

26421567144 is a wasteful number, since it uses less digits than its factorization.

26421567144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188848 (or 188830 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The spelling of 26421567144 in words is "twenty-six billion, four hundred twenty-one million, five hundred sixty-seven thousand, one hundred forty-four".