26919020800 has 216 divisors, whose sum is σ = 76415970176. Its totient is φ = 9196830720.

The previous prime is 26919020783. The next prime is 26919020801. The reversal of 26919020800 is 802091962.

It is a self number, because there is not a number n which added to its sum of digits gives 26919020800.

It is not an unprimeable number, because it can be changed into a prime (26919020801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15096709 + ... + 15098491.

Almost surely, 2^26919020800 is an apocalyptic number.

26919020800 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 26919020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38207985088).

26919020800 is an abundant number, since it is smaller than the sum of its proper divisors (49496949376).

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

26919020800 is a wasteful number, since it uses less digits than its factorization.

26919020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 26919020800 in words is "twenty-six billion, nine hundred nineteen million, twenty thousand, eight hundred".