19501020000 has 1440 divisors, whose sum is σ = 91541197440. Its totient is φ = 3991680000.

The previous prime is 19501019981. The next prime is 19501020001. The reversal of 19501020000 is 2010591.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19501020001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 291059967 + ... + 291060033.

It is an arithmetic number, because the mean of its divisors is an integer number (63570276).

Almost surely, 2^19501020000 is an apocalyptic number.

19501020000 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 19501020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45770598720).

19501020000 is an abundant number, since it is smaller than the sum of its proper divisors (72040177440).

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

19501020000 is a wasteful number, since it uses less digits than its factorization.

19501020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 19501020000 its reverse (2010591), we get a palindrome (19503030591).

The spelling of 19501020000 in words is "nineteen billion, five hundred one million, twenty thousand".