26260397760100 has 243 divisors, whose sum is σ = 69979415989707. Its totient is φ = 8527479327360.

The previous prime is 26260397760071. The next prime is 26260397760173. The reversal of 26260397760100 is 106779306262.

The square root of 26260397760100 is 5124490.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7099677488484 + 19160720271616 = 2664522^2 + 4377296^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6815569774 + ... + 6815573626.

Almost surely, 2^{26260397760100} is an apocalyptic number.

26260397760100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26260397760100 is the 5124490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26260397760100

26260397760100 is an abundant number, since it is smaller than the sum of its proper divisors (43719018229607).

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

26260397760100 is an equidigital number, since it uses as much as digits as its factorization.

26260397760100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7772 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 49.

26260397760100 divided by its sum of digits (49) gives a square (535926484900 = 732070²).

The spelling of 26260397760100 in words is "twenty-six trillion, two hundred sixty billion, three hundred ninety-seven million, seven hundred sixty thousand, one hundred".