26219520000 has 420 divisors, whose sum is σ = 94811861430. Its totient is φ = 6979584000.

The previous prime is 26219519999. The next prime is 26219520031. The reversal of 26219520000 is 2591262.

It can be written as a sum of positive squares in 5 ways, for example, as 146313216 + 26073206784 = 12096^2 + 161472^2 .

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 46079716 + ... + 46080284.

Almost surely, 2^26219520000 is an apocalyptic number.

26219520000 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 26219520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47405930715).

26219520000 is an abundant number, since it is smaller than the sum of its proper divisors (68592341430).

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

26219520000 is an frugal number, since it uses more digits than its factorization.

26219520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 26219520000 in words is "twenty-six billion, two hundred nineteen million, five hundred twenty thousand".