19291020000 has 480 divisors, whose sum is σ = 75500232192. Its totient is φ = 4215552000.

The previous prime is 19291019999. The next prime is 19291020013. The reversal of 19291020000 is 2019291.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 9659002 + ... + 9660998.

Almost surely, 2^19291020000 is an apocalyptic number.

19291020000 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 19291020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37750116096).

19291020000 is an abundant number, since it is smaller than the sum of its proper divisors (56209212192).

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

19291020000 is a wasteful number, since it uses less digits than its factorization.

19291020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

Adding to 19291020000 its reverse (2019291), we get a palindrome (19293039291).

The spelling of 19291020000 in words is "nineteen billion, two hundred ninety-one million, twenty thousand".