26506116000 has 1920 divisors, whose sum is σ = 127861493760. Its totient is φ = 5225472000.

The previous prime is 26506115983. The next prime is 26506116001. The reversal of 26506116000 is 61160562.

It is a happy number.

26506116000 is a `hidden beast` number, since 2 + 6 + 50 + 6 + 1 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (26506116001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 855035985 + ... + 855036015.

It is an arithmetic number, because the mean of its divisors is an integer number (66594528).

Almost surely, 2^26506116000 is an apocalyptic number.

26506116000 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 26506116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63930746880).

26506116000 is an abundant number, since it is smaller than the sum of its proper divisors (101355377760).

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

26506116000 is a wasteful number, since it uses less digits than its factorization.

26506116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 26506116000 its reverse (61160562), we get a palindrome (26567276562).

The spelling of 26506116000 in words is "twenty-six billion, five hundred six million, one hundred sixteen thousand".