19827603900 has 432 divisors, whose sum is σ = 72687014400. Its totient is φ = 4621743360.

The previous prime is 19827603899. The next prime is 19827603973. The reversal of 19827603900 is 930672891.

19827603900 is a `hidden beast` number, since 19 + 8 + 27 + 603 + 9 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8668557 + ... + 8670843.

Almost surely, 2^19827603900 is an apocalyptic number.

19827603900 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 19827603900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36343507200).

19827603900 is an abundant number, since it is smaller than the sum of its proper divisors (52859410500).

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

19827603900 is a wasteful number, since it uses less digits than its factorization.

19827603900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 19827603900 in words is "nineteen billion, eight hundred twenty-seven million, six hundred three thousand, nine hundred".