19826626344100 has 27 divisors (see below), whose sum is σ = 43023875790721. Its totient is φ = 7930632726800.

The previous prime is 19826626344071. The next prime is 19826626344121. The reversal of 19826626344100 is 144362662891.

The square root of 19826626344100 is 4452710.

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

It can be written as a sum of positive squares in only one way, i.e., 7137585483876 + 12689040860224 = 2671626^2 + 3562168^2 .

It is a super-2 number, since 2×19826626344100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44304465 + ... + 44749735.

Almost surely, 2^{19826626344100} is an apocalyptic number.

19826626344100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19826626344100 is the 4452710-th square number.

It is an amenable number.

19826626344100 is an abundant number, since it is smaller than the sum of its proper divisors (23197249446621).

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

19826626344100 is an frugal number, since it uses more digits than its factorization.

19826626344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890556 (or 445278 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The spelling of 19826626344100 in words is "nineteen trillion, eight hundred twenty-six billion, six hundred twenty-six million, three hundred forty-four thousand, one hundred".