26170859160 has 256 divisors, whose sum is σ = 93090816000. Its totient is φ = 6520642560.

The previous prime is 26170859149. The next prime is 26170859167. The reversal of 26170859160 is 6195807162.

It is a super-4 number, since 4×26170859160⁴ (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26170859167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1489225 + ... + 1506695.

It is an arithmetic number, because the mean of its divisors is an integer number (363636000).

Almost surely, 2^26170859160 is an apocalyptic number.

26170859160 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 26170859160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46545408000).

26170859160 is an abundant number, since it is smaller than the sum of its proper divisors (66919956840).

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

26170859160 is a wasteful number, since it uses less digits than its factorization.

26170859160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17583 (or 17573 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 26170859160 in words is "twenty-six billion, one hundred seventy million, eight hundred fifty-nine thousand, one hundred sixty".