26628800000 has 480 divisors, whose sum is σ = 77679090720. Its totient is φ = 9011200000.

The previous prime is 26628799979. The next prime is 26628800021. The reversal of 26628800000 is 882662.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26628799979) and next prime (26628800021).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 26628800000.

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, 299199956 + ... + 299200044.

It is an arithmetic number, because the mean of its divisors is an integer number (161831439).

Almost surely, 2^26628800000 is an apocalyptic number.

26628800000 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 26628800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38839545360).

26628800000 is an abundant number, since it is smaller than the sum of its proper divisors (51050290720).

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

26628800000 is an frugal number, since it uses more digits than its factorization.

26628800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

It can be divided in two parts, 26628 and 800000, that added together give a palindrome (826628).

The spelling of 26628800000 in words is "twenty-six billion, six hundred twenty-eight million, eight hundred thousand".