26190450000 has 1080 divisors, whose sum is σ = 111378293208. Its totient is φ = 5702400000.

The previous prime is 26190449993. The next prime is 26190450029. The reversal of 26190450000 is 5409162.

26190450000 is a `hidden beast` number, since 2 + 619 + 0 + 45 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 26061582096 + 128867904 = 161436^2 + 11352^2 .

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 707849982 + ... + 707850018.

Almost surely, 2^26190450000 is an apocalyptic number.

26190450000 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 26190450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55689146604).

26190450000 is an abundant number, since it is smaller than the sum of its proper divisors (85187843208).

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

26190450000 is a wasteful number, since it uses less digits than its factorization.

26190450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

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

Adding to 26190450000 its reverse (5409162), we get a palindrome (26195859162).

The spelling of 26190450000 in words is "twenty-six billion, one hundred ninety million, four hundred fifty thousand".