26929009800 has 864 divisors, whose sum is σ = 120404793600. Its totient is φ = 5261414400.

The previous prime is 26929009781. The next prime is 26929009801. The reversal of 26929009800 is 890092962.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26929009801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 25917681 + ... + 25918719.

It is an arithmetic number, because the mean of its divisors is an integer number (139357400).

Almost surely, 2^26929009800 is an apocalyptic number.

26929009800 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 26929009800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60202396800).

26929009800 is an abundant number, since it is smaller than the sum of its proper divisors (93475783800).

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

26929009800 is a wasteful number, since it uses less digits than its factorization.

26929009800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 26929009800 in words is "twenty-six billion, nine hundred twenty-nine million, nine thousand, eight hundred".