26438760000 has 315 divisors, whose sum is σ = 95047827303. Its totient is φ = 7024320000.

The previous prime is 26438759993. The next prime is 26438760031. The reversal of 26438760000 is 6783462.

The square root of 26438760000 is 162600.

It is a perfect power (a square), and thus also a powerful number.

26438760000 is a `hidden beast` number, since 2 + 6 + 43 + 8 + 7 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2072798784 + 24365961216 = 45528^2 + 156096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 97559865 + ... + 97560135.

Almost surely, 2^26438760000 is an apocalyptic number.

26438760000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26438760000 is the 162600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26438760000

26438760000 is an abundant number, since it is smaller than the sum of its proper divisors (68609067303).

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

26438760000 is an frugal number, since it uses more digits than its factorization.

26438760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 26438760000 by its sum of digits (36), we get a square (951795360000 = 975600²).

26438760000 divided by its sum of digits (36) gives a square (734410000 = 27100²).

The spelling of 26438760000 in words is "twenty-six billion, four hundred thirty-eight million, seven hundred sixty thousand".