19778387200 has 216 divisors, whose sum is σ = 57515756256. Its totient is φ = 6638592000.

The previous prime is 19778387191. The next prime is 19778387219. The reversal of 19778387200 is 278387791.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904395 + ... + 926005.

Almost surely, 2^19778387200 is an apocalyptic number.

19778387200 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 19778387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28757878128).

19778387200 is an abundant number, since it is smaller than the sum of its proper divisors (37737369056).

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

19778387200 is a wasteful number, since it uses less digits than its factorization.

19778387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21661 (or 21642 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 52.

The spelling of 19778387200 in words is "nineteen billion, seven hundred seventy-eight million, three hundred eighty-seven thousand, two hundred".