26401211100 has 216 divisors, whose sum is σ = 90741098448. Its totient is φ = 6367334400.

The previous prime is 26401211099. The next prime is 26401211107. The reversal of 26401211100 is 111210462.

26401211100 is a `hidden beast` number, since 2 + 640 + 1 + 2 + 11 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26401211107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1943532 + ... + 1957068.

It is an arithmetic number, because the mean of its divisors is an integer number (420097678).

Almost surely, 2^26401211100 is an apocalyptic number.

26401211100 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 26401211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45370549224).

26401211100 is an abundant number, since it is smaller than the sum of its proper divisors (64339887348).

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

26401211100 is a wasteful number, since it uses less digits than its factorization.

26401211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13765 (or 13755 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 26401211100 its reverse (111210462), we get a palindrome (26512421562).

The spelling of 26401211100 in words is "twenty-six billion, four hundred one million, two hundred eleven thousand, one hundred".