26143893872100 has 243 divisors, whose sum is σ = 84014239062481. Its totient is φ = 6800027251200.

The previous prime is 26143893872081. The next prime is 26143893872111. The reversal of 26143893872100 is 127839834162.

It is a happy number.

The square root of 26143893872100 is 5113110.

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

26143893872100 is a `hidden beast` number, since 2 + 6 + 1 + 43 + 8 + 9 + 387 + 210 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 26112488361444 + 31405510656 = 5110038^2 + 177216^2 .

It is a Duffinian number.

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, 6289123222 + ... + 6289127378.

Almost surely, 2^{26143893872100} is an apocalyptic number.

26143893872100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26143893872100 is the 5113110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26143893872100

26143893872100 is an abundant number, since it is smaller than the sum of its proper divisors (57870345190381).

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

26143893872100 is an equidigital number, since it uses as much as digits as its factorization.

26143893872100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8416 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 26143893872100 in words is "twenty-six trillion, one hundred forty-three billion, eight hundred ninety-three million, eight hundred seventy-two thousand, one hundred".