26980715800 has 96 divisors (see below), whose sum is σ = 66106795680. Its totient is φ = 10220672000.

The previous prime is 26980715779. The next prime is 26980715803. The reversal of 26980715800 is 851708962.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26980715803) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 435564 + ... + 493636.

It is an arithmetic number, because the mean of its divisors is an integer number (688612455).

Almost surely, 2^26980715800 is an apocalyptic number.

26980715800 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 26980715800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33053397840).

26980715800 is an abundant number, since it is smaller than the sum of its proper divisors (39126079880).

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

26980715800 is a wasteful number, since it uses less digits than its factorization.

26980715800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58213 (or 58204 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 26980715800 in words is "twenty-six billion, nine hundred eighty million, seven hundred fifteen thousand, eight hundred".