26985040600 has 192 divisors, whose sum is σ = 74333813760. Its totient is φ = 8918553600.

The previous prime is 26985040583. The next prime is 26985040601. The reversal of 26985040600 is 604058962.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26985040601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4405540 + ... + 4411660.

It is an arithmetic number, because the mean of its divisors is an integer number (387155280).

Almost surely, 2^26985040600 is an apocalyptic number.

26985040600 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 26985040600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37166906880).

26985040600 is an abundant number, since it is smaller than the sum of its proper divisors (47348773160).

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

26985040600 is a wasteful number, since it uses less digits than its factorization.

26985040600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6258 (or 6249 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 26985040600 in words is "twenty-six billion, nine hundred eighty-five million, forty thousand, six hundred".