19900879200 has 432 divisors, whose sum is σ = 74082602160. Its totient is φ = 5155799040.

The previous prime is 19900879199. The next prime is 19900879217. The reversal of 19900879200 is 297800991.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29570064 + ... + 29570736.

It is an arithmetic number, because the mean of its divisors is an integer number (171487505).

Almost surely, 2^19900879200 is an apocalyptic number.

19900879200 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 19900879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37041301080).

19900879200 is an abundant number, since it is smaller than the sum of its proper divisors (54181722960).

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

19900879200 is a wasteful number, since it uses less digits than its factorization.

19900879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 19900879200 in words is "nineteen billion, nine hundred million, eight hundred seventy-nine thousand, two hundred".