26160144000 has 256 divisors, whose sum is σ = 91824969600. Its totient is φ = 6565478400.

The previous prime is 26160143993. The next prime is 26160144047. The reversal of 26160144000 is 44106162.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 799971 + ... + 832029.

Almost surely, 2^26160144000 is an apocalyptic number.

26160144000 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 26160144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45912484800).

26160144000 is an abundant number, since it is smaller than the sum of its proper divisors (65664825600).

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

26160144000 is a wasteful number, since it uses less digits than its factorization.

26160144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32108 (or 32086 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 26160144000 in words is "twenty-six billion, one hundred sixty million, one hundred forty-four thousand".