26113443200 has 192 divisors, whose sum is σ = 70430388000. Its totient is φ = 9508700160.

The previous prime is 26113443179. The next prime is 26113443217. The reversal of 26113443200 is 234431162.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 26113443200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3032501 + ... + 3041099.

Almost surely, 2^26113443200 is an apocalyptic number.

26113443200 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 26113443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35215194000).

26113443200 is an abundant number, since it is smaller than the sum of its proper divisors (44316944800).

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

26113443200 is a wasteful number, since it uses less digits than its factorization.

26113443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8709 (or 8692 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 26113443200 its reverse (234431162), we get a palindrome (26347874362).

The spelling of 26113443200 in words is "twenty-six billion, one hundred thirteen million, four hundred forty-three thousand, two hundred".