19821090010000 has 100 divisors (see below), whose sum is σ = 47992629342592. Its totient is φ = 7927810128000.

The previous prime is 19821090009971. The next prime is 19821090010039. The reversal of 19821090010000 is 1009012891.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138958717 + ... + 139101283.

Almost surely, 2^{19821090010000} is an apocalyptic number.

19821090010000 is a gapful number since it is divisible by the number (10) 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 19821090010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23996314671296).

19821090010000 is an abundant number, since it is smaller than the sum of its proper divisors (28171539332592).

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

19821090010000 is a wasteful number, since it uses less digits than its factorization.

19821090010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156498 (or 156477 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 31.

Adding to 19821090010000 its reverse (1009012891), we get a palindrome (19822099022891).

The spelling of 19821090010000 in words is "nineteen trillion, eight hundred twenty-one billion, ninety million, ten thousand".