26442422160 has 640 divisors, whose sum is σ = 106772594688. Its totient is φ = 5253120000.

The previous prime is 26442422159. The next prime is 26442422221. The reversal of 26442422160 is 6122424462.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57860652 + ... + 57861108.

Almost surely, 2^26442422160 is an apocalyptic number.

26442422160 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 26442422160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53386297344).

26442422160 is an abundant number, since it is smaller than the sum of its proper divisors (80330172528).

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

26442422160 is a wasteful number, since it uses less digits than its factorization.

26442422160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

It can be divided in two parts, 264 and 42422160, that added together give a palindrome (42422424).

The spelling of 26442422160 in words is "twenty-six billion, four hundred forty-two million, four hundred twenty-two thousand, one hundred sixty".