26919828000 has 576 divisors, whose sum is σ = 104123571552. Its totient is φ = 6547046400.

The previous prime is 26919827933. The next prime is 26919828031. The reversal of 26919828000 is 82891962.

It can be written as a sum of positive squares in 16 ways, for example, as 3624521616 + 23295306384 = 60204^2 + 152628^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45395704 + ... + 45396296.

Almost surely, 2^26919828000 is an apocalyptic number.

26919828000 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 26919828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52061785776).

26919828000 is an abundant number, since it is smaller than the sum of its proper divisors (77203743552).

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

26919828000 is a wasteful number, since it uses less digits than its factorization.

26919828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 26919828000 in words is "twenty-six billion, nine hundred nineteen million, eight hundred twenty-eight thousand".