26661282300 has 144 divisors (see below), whose sum is σ = 86337911520. Its totient is φ = 7057681920.

The previous prime is 26661282259. The next prime is 26661282317. The reversal of 26661282300 is 328216662.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333862 + ... + 405938.

It is an arithmetic number, because the mean of its divisors is an integer number (599568830).

Almost surely, 2^26661282300 is an apocalyptic number.

26661282300 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 26661282300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43168955760).

26661282300 is an abundant number, since it is smaller than the sum of its proper divisors (59676629220).

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

26661282300 is a wasteful number, since it uses less digits than its factorization.

26661282300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72237 (or 72224 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 26661282300 its reverse (328216662), we get a palindrome (26989498962).

The spelling of 26661282300 in words is "twenty-six billion, six hundred sixty-one million, two hundred eighty-two thousand, three hundred".