26017690000 has 75 divisors (see below), whose sum is σ = 63030505813. Its totient is φ = 10400624000.

The previous prime is 26017689961. The next prime is 26017690003. The reversal of 26017690000 is 9671062.

The square root of 26017690000 is 161300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 17042780304 + 8974909696 = 130548^2 + 94736^2 .

It is a super-2 number, since 2×26017690000² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26017690003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16129194 + ... + 16130806.

Almost surely, 2^26017690000 is an apocalyptic number.

26017690000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26017690000 is the 161300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26017690000

26017690000 is an abundant number, since it is smaller than the sum of its proper divisors (37012815813).

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

26017690000 is an frugal number, since it uses more digits than its factorization.

26017690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 26017690000 in words is "twenty-six billion, seventeen million, six hundred ninety thousand".