19500516672 has 672 divisors, whose sum is σ = 69875229312. Its totient is φ = 4739825664.

The previous prime is 19500516671. The next prime is 19500516683. The reversal of 19500516672 is 27661500591.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19500516671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172570888 + ... + 172571000.

It is an arithmetic number, because the mean of its divisors is an integer number (103980996).

Almost surely, 2^19500516672 is an apocalyptic number.

19500516672 is a gapful number since it is divisible by the number (12) 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 19500516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34937614656).

19500516672 is an abundant number, since it is smaller than the sum of its proper divisors (50374712640).

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

19500516672 is a wasteful number, since it uses less digits than its factorization.

19500516672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 19500516672 in words is "nineteen billion, five hundred million, five hundred sixteen thousand, six hundred seventy-two".